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1059428568 = 233112973761
BaseRepresentation
bin111111001001011…
…001100011011000
32201211111112210010
4333021121203120
54132203203233
6253043121520
735152665012
oct7711314330
92654445703
101059428568
114a4024400
122569732a0
1313b647013
14a09bb1b2
156301eb63
hex3f2598d8

1059428568 has 96 divisors (see below), whose sum is σ = 2942034480. Its totient is φ = 317644800.

The previous prime is 1059428567. The next prime is 1059428569. The reversal of 1059428568 is 8658249501.

It is an interprime number because it is at equal distance from previous prime (1059428567) and next prime (1059428569).

It is a super-2 number, since 2×10594285682 = 2244777781389061248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059428567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279808 + ... + 283568.

Almost surely, 21059428568 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 1059428568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471017240).

1059428568 is an abundant number, since it is smaller than the sum of its proper divisors (1882605912).

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

1059428568 is a wasteful number, since it uses less digits than its factorization.

1059428568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 1059428568 is about 32548.8643119848. The cubic root of 1059428568 is about 1019.4295695532.

The spelling of 1059428568 in words is "one billion, fifty-nine million, four hundred twenty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 121 132 194 242 264 291 363 388 484 582 726 776 968 1067 1164 1452 2134 2328 2904 3201 3761 4268 6402 7522 8536 11283 11737 12804 15044 22566 23474 25608 30088 35211 41371 45132 46948 70422 82742 90264 93896 124113 140844 165484 248226 281688 330968 364817 455081 496452 729634 910162 992904 1094451 1365243 1459268 1820324 2188902 2730486 2918536 3640648 4012987 4377804 5460972 8025974 8755608 10921944 12038961 16051948 24077922 32103896 44142857 48155844 88285714 96311688 132428571 176571428 264857142 353142856 529714284 1059428568