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1040301630 = 23452967661
BaseRepresentation
bin111110000000011…
…011111000111110
32200111111210120000
4332000123320332
54112304123010
6251121135130
734531263234
oct7600337076
92614453500
101040301630
11494250015
1225048a4a6
131376ab0c4
149c23c954
15614e27c0
hex3e01be3e

1040301630 has 160 divisors (see below), whose sum is σ = 2941345440. Its totient is φ = 263450880.

The previous prime is 1040301599. The next prime is 1040301631. The reversal of 1040301630 is 361030401.

1040301630 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 30 + 1 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040301631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1573500 + ... + 1574160.

It is an arithmetic number, because the mean of its divisors is an integer number (18383409).

Almost surely, 21040301630 is an apocalyptic number.

1040301630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040301630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470672720).

1040301630 is an abundant number, since it is smaller than the sum of its proper divisors (1901043810).

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

1040301630 is a wasteful number, since it uses less digits than its factorization.

1040301630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1040301630 is about 32253.7072287822. The cubic root of 1040301630 is about 1013.2573428367.

The spelling of 1040301630 in words is "one billion, forty million, three hundred one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 67 81 87 90 134 135 145 162 174 201 261 270 290 335 402 405 435 522 603 661 670 783 810 870 1005 1206 1305 1322 1566 1809 1943 1983 2010 2349 2610 3015 3305 3618 3886 3915 3966 4698 5427 5829 5949 6030 6610 7830 9045 9715 9915 10854 11658 11745 11898 17487 17847 18090 19169 19430 19830 23490 27135 29145 29745 34974 35694 38338 44287 52461 53541 54270 57507 58290 59490 87435 88574 89235 95845 104922 107082 115014 132861 157383 172521 174870 178470 191690 221435 262305 265722 267705 287535 314766 345042 398583 442870 517563 524610 535410 575070 664305 786915 797166 862605 1035126 1195749 1284323 1328610 1552689 1573830 1725210 1992915 2391498 2568646 2587815 3105378 3587247 3852969 3985830 5175630 5978745 6421615 7174494 7705938 7763445 11558907 11957490 12843230 15526890 17936235 19264845 23117814 34676721 35872470 38529690 57794535 69353442 104030163 115589070 173383605 208060326 346767210 520150815 1040301630