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10678976 = 267112197
BaseRepresentation
bin101000101111…
…001011000000
3202002112210122
4220233023000
510213211401
61020515412
7156525020
oct50571300
922075718
1010678976
116034300
1236abb68
13229b929
1415bda80
15e0e21b
hexa2f2c0

10678976 has 84 divisors (see below), whose sum is σ = 26755344. Its totient is φ = 4139520.

The previous prime is 10678963. The next prime is 10678981. The reversal of 10678976 is 67987601.

It is a super-2 number, since 2×106789762 = 228081056817152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54110 + ... + 54306.

It is an arithmetic number, because the mean of its divisors is an integer number (318516).

Almost surely, 210678976 is an apocalyptic number.

10678976 is a gapful number since it is divisible by the number (16) 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 10678976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13377672).

10678976 is an abundant number, since it is smaller than the sum of its proper divisors (16076368).

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

10678976 is a wasteful number, since it uses less digits than its factorization.

10678976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 10678976 is about 3267.8702544624. The cubic root of 10678976 is about 220.2131267983.

The spelling of 10678976 in words is "ten million, six hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 197 224 242 308 352 394 448 484 616 704 788 847 968 1232 1379 1576 1694 1936 2167 2464 2758 3152 3388 3872 4334 4928 5516 6304 6776 7744 8668 11032 12608 13552 15169 17336 22064 23837 27104 30338 34672 44128 47674 54208 60676 69344 88256 95348 121352 138688 166859 190696 242704 333718 381392 485408 667436 762784 970816 1334872 1525568 2669744 5339488 10678976