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21956704 = 2572111967
BaseRepresentation
bin101001111000…
…0100001100000
31112022111221021
41103300201200
521110103304
62102335224
7354425500
oct123604140
945274837
1021956704
1111437440
12742a514
134719c43
142cb7a00
151ddaa54
hex14f0860

21956704 has 144 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 7983360.

The previous prime is 21956699. The next prime is 21956713. The reversal of 21956704 is 40765912.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21956704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327679 + ... + 327745.

It is an arithmetic number, because the mean of its divisors is an integer number (406980).

Almost surely, 221956704 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 21956704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560).

21956704 is an abundant number, since it is smaller than the sum of its proper divisors (36648416).

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

21956704 is a wasteful number, since it uses less digits than its factorization.

21956704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 21956704 is about 4685.7981177170. The cubic root of 21956704 is about 280.0199985716.

The spelling of 21956704 in words is "twenty-one million, nine hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 49 56 67 76 77 88 98 112 133 134 152 154 176 196 209 224 266 268 304 308 352 392 418 469 532 536 539 608 616 737 784 836 931 938 1064 1072 1078 1232 1273 1463 1474 1568 1672 1862 1876 2128 2144 2156 2464 2546 2926 2948 3283 3344 3724 3752 4256 4312 5092 5159 5852 5896 6566 6688 7448 7504 8624 8911 10184 10241 10318 11704 11792 13132 14003 14896 15008 17248 17822 20368 20482 20636 23408 23584 26264 28006 29792 35644 36113 40736 40964 41272 46816 52528 56012 62377 71288 72226 81928 82544 98021 105056 112024 124754 142576 144452 163856 165088 196042 224048 249508 285152 288904 327712 392084 448096 499016 577808 686147 784168 998032 1155616 1372294 1568336 1996064 2744588 3136672 5489176 10978352 21956704