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13676976 = 24321737151
BaseRepresentation
bin110100001011…
…000110110000
3221201212021200
4310023012300
512000130401
61205051200
7224152365
oct64130660
927655250
1013676976
1177a1795
1246b6b00
132aab3b1
141b6046c
151302686
hexd0b1b0

13676976 has 120 divisors (see below), whose sum is σ = 41899104. Its totient is φ = 4147200.

The previous prime is 13676917. The next prime is 13676981. The reversal of 13676976 is 67967631.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90501 + ... + 90651.

Almost surely, 213676976 is an apocalyptic number.

13676976 is a gapful number since it is divisible by the number (16) 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 13676976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20949552).

13676976 is an abundant number, since it is smaller than the sum of its proper divisors (28222128).

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

13676976 is a wasteful number, since it uses less digits than its factorization.

13676976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 13676976 is about 3698.2395812062. The cubic root of 13676976 is about 239.1461323948.

The spelling of 13676976 in words is "thirteen million, six hundred seventy-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 151 153 204 222 272 296 302 306 333 408 444 453 592 604 612 629 666 816 888 906 1208 1224 1258 1332 1359 1776 1812 1887 2416 2448 2516 2567 2664 2718 3624 3774 5032 5134 5328 5436 5587 5661 7248 7548 7701 10064 10268 10872 11174 11322 15096 15402 16761 20536 21744 22348 22644 23103 30192 30804 33522 41072 44696 45288 46206 50283 61608 67044 89392 90576 92412 94979 100566 123216 134088 184824 189958 201132 268176 284937 369648 379916 402264 569874 759832 804528 854811 1139748 1519664 1709622 2279496 3419244 4558992 6838488 13676976