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21930636 = 223721319151
BaseRepresentation
bin101001110101…
…0001010001100
31112021012011210
41103222022030
521103240021
62102014420
7354256500
oct123521214
945235153
1021930636
11114198a2
127417410
13470b110
142cac300
151dd2e76
hex14ea28c

21930636 has 144 divisors (see below), whose sum is σ = 67925760. Its totient is φ = 5443200.

The previous prime is 21930619. The next prime is 21930647. The reversal of 21930636 is 63603912.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145161 + ... + 145311.

Almost surely, 221930636 is an apocalyptic number.

21930636 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 21930636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33962880).

21930636 is an abundant number, since it is smaller than the sum of its proper divisors (45995124).

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

21930636 is a wasteful number, since it uses less digits than its factorization.

21930636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 21930636 is about 4683.0156950410. The cubic root of 21930636 is about 279.9091371840.

The spelling of 21930636 in words is "twenty-one million, nine hundred thirty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 151 156 182 196 228 247 266 273 294 302 364 399 453 494 532 546 588 604 637 741 798 906 931 988 1057 1092 1274 1482 1596 1729 1812 1862 1911 1963 2114 2548 2793 2869 2964 3171 3458 3724 3822 3926 4228 5187 5586 5738 5889 6342 6916 7399 7644 7852 8607 10374 11172 11476 11778 12103 12684 13741 14798 17214 20083 20748 22197 23556 24206 27482 29596 34428 36309 37297 40166 41223 44394 48412 54964 60249 72618 74594 80332 82446 88788 96187 111891 120498 140581 145236 149188 164892 192374 223782 240996 261079 281162 288561 384748 421743 447564 522158 562324 577122 783237 843486 1044316 1154244 1566474 1686972 1827553 3132948 3655106 5482659 7310212 10965318 21930636