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630099888 = 2431119107587
BaseRepresentation
bin100101100011101…
…000111110110000
31121220122101112220
4211203220332300
52242301144023
6142305121040
721420521625
oct4543507660
91556571486
10630099888
112a3747410
12157029180
13a0707192
145d98034c
153a4b63e3
hex258e8fb0

630099888 has 160 divisors (see below), whose sum is σ = 1889879040. Its totient is φ = 178894080.

The previous prime is 630099887. The next prime is 630099889. The reversal of 630099888 is 888990036.

630099888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (630099887) and next prime (630099889).

It is a super-2 number, since 2×6300998882 = 794051737715225088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 630099888.

It is not an unprimeable number, because it can be changed into a prime (630099887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073131 + ... + 1073717.

It is an arithmetic number, because the mean of its divisors is an integer number (11811744).

Almost surely, 2630099888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630099888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

630099888 is an abundant number, since it is smaller than the sum of its proper divisors (1259779152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

630099888 is a wasteful number, since it uses less digits than its factorization.

630099888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 630099888 is about 25101.7905337448. The cubic root of 630099888 is about 857.3071928082.

The spelling of 630099888 in words is "six hundred thirty million, ninety-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 107 114 132 152 176 209 214 228 264 304 321 418 428 456 528 587 627 642 836 856 912 1174 1177 1254 1284 1672 1712 1761 2033 2348 2354 2508 2568 3344 3522 3531 4066 4696 4708 5016 5136 6099 6457 7044 7062 8132 9392 9416 10032 11153 12198 12914 14088 14124 16264 18832 19371 22306 22363 24396 25828 28176 28248 32528 33459 38742 44612 44726 48792 51656 56496 62809 66918 67089 77484 89224 89452 97584 103312 122683 125618 133836 134178 154968 178448 178904 188427 245366 251236 267672 268356 309936 357808 368049 376854 490732 502472 535344 536712 690899 736098 753708 981464 1004944 1073424 1193371 1381798 1472196 1507416 1962928 2072697 2386742 2763596 2944392 3014832 3580113 4145394 4773484 5527192 5888784 7160226 8290788 9546968 11054384 13127081 14320452 16581576 19093936 26254162 28640904 33163152 39381243 52508324 57281808 78762486 105016648 157524972 210033296 315049944 630099888