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20976832 = 263197109
BaseRepresentation
bin101000000000…
…1010011000000
31110110201210201
41100001103000
520332224312
62025334544
7343204642
oct120012300
943421721
1020976832
1110928228
127037454
134465c36
142b00892
151c95557
hex14014c0

20976832 has 56 divisors (see below), whose sum is σ = 43809920. Its totient is φ = 9953280.

The previous prime is 20976821. The next prime is 20976833. The reversal of 20976832 is 23867902.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 20976832 = 1203 + 2683 = 2043 + 2323.

It is a junction number, because it is equal to n+sod(n) for n = 20976791 and 20976800.

It is not an unprimeable number, because it can be changed into a prime (20976833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192394 + ... + 192502.

It is an arithmetic number, because the mean of its divisors is an integer number (782320).

Almost surely, 220976832 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 20976832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21904960).

20976832 is an abundant number, since it is smaller than the sum of its proper divisors (22833088).

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

20976832 is a wasteful number, since it uses less digits than its factorization.

20976832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 20976832 is about 4580.0471613292. The cubic root of 20976832 is about 275.7909219625.

The spelling of 20976832 in words is "twenty million, nine hundred seventy-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 97 109 124 194 218 248 388 436 496 776 872 992 1552 1744 1984 3007 3104 3379 3488 6014 6208 6758 6976 10573 12028 13516 21146 24056 27032 42292 48112 54064 84584 96224 108128 169168 192448 216256 327763 338336 655526 676672 1311052 2622104 5244208 10488416 20976832