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13676096 = 267489
BaseRepresentation
bin110100001010…
…111001000000
3221201211002002
4310022321000
512000113341
61205043132
7224150000
oct64127100
927654062
1013676096
1177a1065
1246b64a8
132aaab85
141b60000
15130229b
hexd0ae40

13676096 has 70 divisors (see below), whose sum is σ = 32015430. Its totient is φ = 5795328.

The previous prime is 13676087. The next prime is 13676101. The reversal of 13676096 is 69067631.

It can be written as a sum of positive squares in only one way, i.e., 9834496 + 3841600 = 3136^2 + 1960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153620 + ... + 153708.

Almost surely, 213676096 is an apocalyptic number.

13676096 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 13676096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16007715).

13676096 is an abundant number, since it is smaller than the sum of its proper divisors (18339334).

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

13676096 is an frugal number, since it uses more digits than its factorization.

13676096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 13676096 is about 3698.1206037662. The cubic root of 13676096 is about 239.1410032613.

The spelling of 13676096 in words is "thirteen million, six hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 178 196 224 343 356 392 448 623 686 712 784 1246 1372 1424 1568 2401 2492 2744 2848 3136 4361 4802 4984 5488 5696 8722 9604 9968 10976 17444 19208 19936 21952 30527 34888 38416 39872 61054 69776 76832 122108 139552 153664 213689 244216 279104 427378 488432 854756 976864 1709512 1953728 3419024 6838048 13676096