Search a number
-
+
630387960 = 233534715139
BaseRepresentation
bin100101100100101…
…111010011111000
31121221012000201020
4211210233103320
52242334403320
6142315222440
721423131526
oct4544572370
91557160636
10630387960
112a3923894
12157147a20
13a07a8337
145da17316
153a521940
hex2592f4f8

630387960 has 64 divisors (see below), whose sum is σ = 1896739200. Its totient is φ = 167607936.

The previous prime is 630387959. The next prime is 630387973. The reversal of 630387960 is 69783036.

It is a super-2 number, since 2×6303879602 = 794777960225923200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34071 + ... + 49209.

It is an arithmetic number, because the mean of its divisors is an integer number (29636550).

Almost surely, 2630387960 is an apocalyptic number.

630387960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630387960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948369600).

630387960 is an abundant number, since it is smaller than the sum of its proper divisors (1266351240).

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

630387960 is a wasteful number, since it uses less digits than its factorization.

630387960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15500 (or 15496 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 630387960 is about 25107.5279547788. The cubic root of 630387960 is about 857.4378221341.

The spelling of 630387960 in words is "six hundred thirty million, three hundred eighty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1388 1735 2082 2776 3470 4164 5205 6940 8328 10410 13880 15139 20820 30278 41640 45417 60556 75695 90834 121112 151390 181668 227085 302780 363336 454170 605560 908340 1816680 5253233 10506466 15759699 21012932 26266165 31519398 42025864 52532330 63038796 78798495 105064660 126077592 157596990 210129320 315193980 630387960