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21712896 = 212321931
BaseRepresentation
bin101001011010…
…1000000000000
31111212010111100
41102311000000
521024303041
62053214400
7352361622
oct122650000
944763440
1021712896
1111290247
127331400
134662c8a
142c52c12
151d8d6b6
hex14b5000

21712896 has 156 divisors (see below), whose sum is σ = 68149120. Its totient is φ = 6635520.

The previous prime is 21712871. The next prime is 21712907. The reversal of 21712896 is 69821712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21712896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700401 + ... + 700431.

Almost surely, 221712896 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 21712896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34074560).

21712896 is an abundant number, since it is smaller than the sum of its proper divisors (46436224).

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

21712896 is a wasteful number, since it uses less digits than its factorization.

21712896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 21712896 is about 4659.7098622125. The cubic root of 21712896 is about 278.9796878880.

The spelling of 21712896 in words is "twenty-one million, seven hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 64 72 76 93 96 114 124 128 144 152 171 186 192 228 248 256 279 288 304 342 372 384 456 496 512 558 576 589 608 684 744 768 912 992 1024 1116 1152 1178 1216 1368 1488 1536 1767 1824 1984 2048 2232 2304 2356 2432 2736 2976 3072 3534 3648 3968 4096 4464 4608 4712 4864 5301 5472 5952 6144 7068 7296 7936 8928 9216 9424 9728 10602 10944 11904 12288 14136 14592 15872 17856 18432 18848 19456 21204 21888 23808 28272 29184 31744 35712 36864 37696 38912 42408 43776 47616 56544 58368 63488 71424 75392 77824 84816 87552 95232 113088 116736 126976 142848 150784 169632 175104 190464 226176 233472 285696 301568 339264 350208 380928 452352 571392 603136 678528 700416 904704 1142784 1206272 1357056 1809408 2412544 2714112 3618816 5428224 7237632 10856448 21712896