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1064056632 = 233299715761
BaseRepresentation
bin111111011011000…
…011011100111000
32202011012200021220
4333123003130320
54134344303012
6253330232040
735240221632
oct7733033470
92664180256
101064056632
114a66a5551
12258425620
1313c5a7712
14a1463a52
156363608c
hex3f6c3738

1064056632 has 64 divisors (see below), whose sum is σ = 2780416800. Its totient is φ = 338903040.

The previous prime is 1064056589. The next prime is 1064056633. The reversal of 1064056632 is 2366504601.

It is a super-2 number, since 2×10640566322 = 2264433032206366848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064056593 and 1064056602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064056633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59632 + ... + 75392.

Almost surely, 21064056632 is an apocalyptic number.

1064056632 is a gapful number since it is divisible by the number (12) 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 1064056632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390208400).

1064056632 is an abundant number, since it is smaller than the sum of its proper divisors (1716360168).

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

1064056632 is a wasteful number, since it uses less digits than its factorization.

1064056632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15896 (or 15892 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1064056632 is about 32619.8809317263. The cubic root of 1064056632 is about 1020.9118566274.

The spelling of 1064056632 in words is "one billion, sixty-four million, fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 97 116 174 194 232 291 348 388 582 696 776 1164 2328 2813 5626 8439 11252 15761 16878 22504 31522 33756 47283 63044 67512 94566 126088 189132 378264 457069 914138 1371207 1528817 1828276 2742414 3057634 3656552 4586451 5484828 6115268 9172902 10969656 12230536 18345804 36691608 44335693 88671386 133007079 177342772 266014158 354685544 532028316 1064056632