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21907296 = 2532294361
BaseRepresentation
bin101001110010…
…0011101100000
31112020000011100
41103210131200
521102013141
62101314400
7354131445
oct123443540
945200140
1021907296
1111403304
127405a00
1347005c8
142ca39cc
151dcb0b6
hex14e4760

21907296 has 144 divisors (see below), whose sum is σ = 67026960. Its totient is φ = 6773760.

The previous prime is 21907289. The next prime is 21907307. The reversal of 21907296 is 69270912.

It is a tau number, because it is divible by the number of its divisors (144).

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 21907296.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 359106 + ... + 359166.

It is an arithmetic number, because the mean of its divisors is an integer number (465465).

Almost surely, 221907296 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 21907296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

21907296 is an abundant number, since it is smaller than the sum of its proper divisors (45119664).

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

21907296 is a wasteful number, since it uses less digits than its factorization.

21907296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 21907296 is about 4680.5230476946. The cubic root of 21907296 is about 279.8098028057.

The spelling of 21907296 in words is "twenty-one million, nine hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 43 48 58 61 72 86 87 96 116 122 129 144 172 174 183 232 244 258 261 288 344 348 366 387 464 488 516 522 549 688 696 732 774 928 976 1032 1044 1098 1247 1376 1392 1464 1548 1769 1952 2064 2088 2196 2494 2623 2784 2928 3096 3538 3741 4128 4176 4392 4988 5246 5307 5856 6192 7076 7482 7869 8352 8784 9976 10492 10614 11223 12384 14152 14964 15738 15921 17568 19952 20984 21228 22446 23607 28304 29928 31476 31842 39904 41968 42456 44892 47214 56608 59856 62952 63684 76067 83936 84912 89784 94428 119712 125904 127368 152134 169824 179568 188856 228201 251808 254736 304268 359136 377712 456402 509472 608536 684603 755424 912804 1217072 1369206 1825608 2434144 2738412 3651216 5476824 7302432 10953648 21907296