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20976956 = 2271113331
BaseRepresentation
bin101000000000…
…1010100111100
31110110201222022
41100001110330
520332230311
62025335312
7343205210
oct120012474
943421868
1020976956
1110928330
127037538
134466000
142b00940
151c955db
hex140153c

20976956 has 96 divisors (see below), whose sum is σ = 51179520. Its totient is φ = 7300800.

The previous prime is 20976937. The next prime is 20976973. The reversal of 20976956 is 65967902.

20976956 = T231 + T232 + ... + T516.

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

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676661 + ... + 676691.

It is an arithmetic number, because the mean of its divisors is an integer number (533120).

Almost surely, 220976956 is an apocalyptic number.

20976956 is a gapful number since it is divisible by the number (26) 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 20976956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25589760).

20976956 is an abundant number, since it is smaller than the sum of its proper divisors (30202564).

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

20976956 is a wasteful number, since it uses less digits than its factorization.

20976956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 20976956 is about 4580.0606982877. The cubic root of 20976956 is about 275.7914653876.

The spelling of 20976956 in words is "twenty million, nine hundred seventy-six thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 52 62 77 91 124 143 154 169 182 217 286 308 338 341 364 403 434 572 676 682 806 868 1001 1183 1364 1612 1859 2002 2197 2366 2387 2821 3718 4004 4394 4433 4732 4774 5239 5642 7436 8788 8866 9548 10478 11284 13013 15379 17732 20956 24167 26026 30758 31031 36673 48334 52052 57629 61516 62062 68107 73346 96668 115258 124124 136214 146692 169169 230516 272428 338338 403403 476749 676676 749177 806806 953498 1498354 1613612 1906996 2996708 5244239 10488478 20976956