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13676544 = 21232753
BaseRepresentation
bin110100001011…
…000000000000
3221201211200200
4310023000000
512000122134
61205045200
7224151210
oct64130000
927654620
1013676544
1177a1432
1246b6800
132aab13b
141b60240
151302499
hexd0b000

13676544 has 156 divisors (see below), whose sum is σ = 46000656. Its totient is φ = 3833856.

The previous prime is 13676527. The next prime is 13676563. The reversal of 13676544 is 44567631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime factors (90).

It is a junction number, because it is equal to n+sod(n) for n = 13676499 and 13676508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258022 + ... + 258074.

It is an arithmetic number, because the mean of its divisors is an integer number (294876).

Almost surely, 213676544 is an apocalyptic number.

13676544 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 13676544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23000328).

13676544 is an abundant number, since it is smaller than the sum of its proper divisors (32324112).

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

13676544 is an equidigital number, since it uses as much as digits as its factorization.

13676544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 13676544 is about 3698.1811745776. The cubic root of 13676544 is about 239.1436144840.

The spelling of 13676544 in words is "thirteen million, six hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 64 72 84 96 106 112 126 128 144 159 168 192 212 224 252 256 288 318 336 371 384 424 448 477 504 512 576 636 672 742 768 848 896 954 1008 1024 1113 1152 1272 1344 1484 1536 1696 1792 1908 2016 2048 2226 2304 2544 2688 2968 3072 3339 3392 3584 3816 4032 4096 4452 4608 5088 5376 5936 6144 6678 6784 7168 7632 8064 8904 9216 10176 10752 11872 12288 13356 13568 14336 15264 16128 17808 18432 20352 21504 23744 26712 27136 28672 30528 32256 35616 36864 40704 43008 47488 53424 54272 61056 64512 71232 81408 86016 94976 106848 108544 122112 129024 142464 162816 189952 213696 217088 244224 258048 284928 325632 379904 427392 488448 569856 651264 759808 854784 976896 1139712 1519616 1709568 1953792 2279424 3419136 4558848 6838272 13676544