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10576040 = 23517103151
BaseRepresentation
bin101000010110…
…000010101000
3201220022121012
4220112002220
510201413130
61014403052
7155615636
oct50260250
921808535
1010576040
115a73a32
123660488
132263b17
141594356
15ddd995
hexa160a8

10576040 has 64 divisors (see below), whose sum is σ = 25608960. Its totient is φ = 3916800.

The previous prime is 10576037. The next prime is 10576061. The reversal of 10576040 is 4067501.

It is a super-2 number, since 2×105760402 = 223705244163200, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10575997 and 10576015.

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, 69965 + ... + 70115.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 210576040 is an apocalyptic number.

10576040 is a gapful number since it is divisible by the number (10) 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 10576040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804480).

10576040 is an abundant number, since it is smaller than the sum of its proper divisors (15032920).

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

10576040 is a wasteful number, since it uses less digits than its factorization.

10576040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10576040 is about 3252.0824097799. The cubic root of 10576040 is about 219.5032870861.

The spelling of 10576040 in words is "ten million, five hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 103 136 151 170 206 302 340 412 515 604 680 755 824 1030 1208 1510 1751 2060 2567 3020 3502 4120 5134 6040 7004 8755 10268 12835 14008 15553 17510 20536 25670 31106 35020 51340 62212 70040 77765 102680 124424 155530 264401 311060 528802 622120 1057604 1322005 2115208 2644010 5288020 10576040