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21131604 = 22341329173
BaseRepresentation
bin101000010011…
…1000101010100
31110202121010000
41100213011110
520402202404
62032531300
7344421114
oct120470524
943677100
1021131604
1110a2353a
1270b0b30
1344bb510
142b41044
151cc6339
hex1427154

21131604 has 120 divisors (see below), whose sum is σ = 61898760. Its totient is φ = 6241536.

The previous prime is 21131597. The next prime is 21131651. The reversal of 21131604 is 40613112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 17139600 = 1998^2 + 4140^2 .

It is a super-2 number, since 2×211316042 = 893089375225632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122062 + ... + 122234.

It is an arithmetic number, because the mean of its divisors is an integer number (515823).

Almost surely, 221131604 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 21131604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30949380).

21131604 is an abundant number, since it is smaller than the sum of its proper divisors (40767156).

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

21131604 is a wasteful number, since it uses less digits than its factorization.

21131604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21131604 is about 4596.9124420637. The cubic root of 21131604 is about 276.4675440171.

Adding to 21131604 its reverse (40613112), we get a palindrome (61744716).

The spelling of 21131604 in words is "twenty-one million, one hundred thirty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 173 174 234 261 324 346 348 351 377 468 519 522 692 702 754 783 1038 1044 1053 1131 1404 1508 1557 1566 2076 2106 2249 2262 2349 3114 3132 3393 4212 4498 4524 4671 4698 5017 6228 6747 6786 8996 9342 9396 10034 10179 13494 13572 14013 15051 18684 20068 20241 20358 26988 28026 30102 30537 40482 40716 45153 56052 60204 60723 61074 65221 80964 90306 121446 122148 130442 135459 180612 182169 195663 242892 260884 270918 364338 391326 406377 541836 586989 728676 782652 812754 1173978 1625508 1760967 2347956 3521934 5282901 7043868 10565802 21131604