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12691224 = 23327132149
BaseRepresentation
bin110000011010…
…011100011000
3212212210002100
4300122130120
511222104344
61132003400
7212605440
oct60323430
925783070
1012691224
117189117
124300560
132824800
141985120
1511aa569
hexc1a718

12691224 has 144 divisors (see below), whose sum is σ = 42822000. Its totient is φ = 3324672.

The previous prime is 12691223. The next prime is 12691243. The reversal of 12691224 is 42219621.

It is a super-2 number, since 2×126912242 = 322134333236352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12691223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85102 + ... + 85250.

It is an arithmetic number, because the mean of its divisors is an integer number (297375).

Almost surely, 212691224 is an apocalyptic number.

12691224 is a gapful number since it is divisible by the number (14) 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 12691224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21411000).

12691224 is an abundant number, since it is smaller than the sum of its proper divisors (30130776).

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

12691224 is a wasteful number, since it uses less digits than its factorization.

12691224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 12691224 is about 3562.4744209608. The cubic root of 12691224 is about 233.2569019508.

The spelling of 12691224 in words is "twelve million, six hundred ninety-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 149 156 168 169 182 234 252 273 298 312 338 364 447 468 504 507 546 596 676 728 819 894 936 1014 1043 1092 1183 1192 1341 1352 1521 1638 1788 1937 2028 2086 2184 2366 2682 3042 3129 3276 3549 3576 3874 4056 4172 4732 5364 5811 6084 6258 6552 7098 7748 8344 9387 9464 10647 10728 11622 12168 12516 13559 14196 15496 17433 18774 21294 23244 25032 25181 27118 28392 34866 37548 40677 42588 46488 50362 54236 69732 75096 75543 81354 85176 100724 108472 122031 139464 151086 162708 176267 201448 226629 244062 302172 325416 352534 453258 488124 528801 604344 705068 906516 976248 1057602 1410136 1586403 1813032 2115204 3172806 4230408 6345612 12691224