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12674144 = 257259137
BaseRepresentation
bin110000010110…
…010001100000
3212211220122202
4300112101200
511221033034
61131352332
7212504600
oct60262140
925756582
1012674144
1171772aa
1242b26a8
132819ac2
14197cc00
1511a547e
hexc16460

12674144 has 72 divisors (see below), whose sum is σ = 29733480. Its totient is φ = 5300736.

The previous prime is 12674143. The next prime is 12674171. The reversal of 12674144 is 44147621.

It is a happy number.

It is a super-2 number, since 2×126741442 = 321267852265472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12674143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92444 + ... + 92580.

It is an arithmetic number, because the mean of its divisors is an integer number (412965).

Almost surely, 212674144 is an apocalyptic number.

12674144 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 12674144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14866740).

12674144 is an abundant number, since it is smaller than the sum of its proper divisors (17059336).

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

12674144 is a wasteful number, since it uses less digits than its factorization.

12674144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 12674144 is about 3560.0764036745. The cubic root of 12674144 is about 233.1522150040.

The spelling of 12674144 in words is "twelve million, six hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 137 196 224 236 274 392 413 472 548 784 826 944 959 1096 1568 1652 1888 1918 2192 2891 3304 3836 4384 5782 6608 6713 7672 8083 11564 13216 13426 15344 16166 23128 26852 30688 32332 46256 53704 56581 64664 92512 107408 113162 129328 214816 226324 258656 396067 452648 792134 905296 1584268 1810592 3168536 6337072 12674144