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21806148 = 223713191051
BaseRepresentation
bin101001100101…
…1110001000100
31112000212102010
41103023301010
521040244043
62055214220
7353230530
oct123136104
945025363
1021806148
1111344311
127377370
134696560
142c78bc0
151dab133
hex14cbc44

21806148 has 96 divisors (see below), whose sum is σ = 65981440. Its totient is φ = 5443200.

The previous prime is 21806143. The next prime is 21806149. The reversal of 21806148 is 84160812.

21806148 is nontrivially palindromic in base 11.

It is not an unprimeable number, because it can be changed into a prime (21806143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20223 + ... + 21273.

Almost surely, 221806148 is an apocalyptic number.

21806148 is a gapful number since it is divisible by the number (28) 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 21806148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32990720).

21806148 is an abundant number, since it is smaller than the sum of its proper divisors (44175292).

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

21806148 is a wasteful number, since it uses less digits than its factorization.

21806148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 21806148 is about 4669.7053440233. The cubic root of 21806148 is about 279.3785024760.

The spelling of 21806148 in words is "twenty-one million, eight hundred six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1051 1092 1482 1596 1729 2102 2964 3153 3458 4204 5187 6306 6916 7357 10374 12612 13663 14714 19969 20748 22071 27326 29428 39938 40989 44142 54652 59907 79876 81978 88284 95641 119814 139783 163956 191282 239628 259597 279566 286923 382564 419349 519194 559132 573846 778791 838698 1038388 1147692 1557582 1677396 1817179 3115164 3634358 5451537 7268716 10903074 21806148