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23000260528 = 2472293132633
BaseRepresentation
bin10101011010111011…
…000001111110110000
32012100221001021222001
4111122323001332300
5334101031314103
614322143223344
71442652663100
oct253273017660
965327037861
1023000260528
119833058183
12455a8a7b54
13222715091b
141182959200
158e936201d
hex55aec1fb0

23000260528 has 120 divisors (see below), whose sum is σ = 55357706880. Its totient is φ = 9210055680.

The previous prime is 23000260471. The next prime is 23000260561. The reversal of 23000260528 is 82506200032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 23000260496 and 23000260505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688500 + ... + 721132.

It is an arithmetic number, because the mean of its divisors is an integer number (461314224).

Almost surely, 223000260528 is an apocalyptic number.

23000260528 is a gapful number since it is divisible by the number (28) 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 23000260528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27678853440).

23000260528 is an abundant number, since it is smaller than the sum of its proper divisors (32357446352).

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

23000260528 is a wasteful number, since it uses less digits than its factorization.

23000260528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32715 (or 32702 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 23000260528 in words is "twenty-three billion, two hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 31 49 56 58 62 98 112 116 124 196 203 217 232 248 392 406 434 464 496 784 812 868 899 1421 1519 1624 1736 1798 2842 3038 3248 3472 3596 5684 6076 6293 7192 11368 12152 12586 14384 22736 24304 25172 32633 44051 50344 65266 88102 100688 130532 176204 228431 261064 352408 456862 522128 704816 913724 946357 1011623 1599017 1827448 1892714 2023246 3198034 3654896 3785428 4046492 6396068 6624499 7081361 7570856 8092984 12792136 13248998 14162722 15141712 16185968 25584272 26497996 28325444 29337067 46371493 49569527 52995992 56650888 58674134 92742986 99139054 105991984 113301776 117348268 185485972 198278108 205359469 234696536 370971944 396556216 410718938 469393072 741943888 793112432 821437876 1437516283 1642875752 2875032566 3285751504 5750065132 11500130264 23000260528