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13661088 = 253729701
BaseRepresentation
bin110100000111…
…001110100000
3221201001111020
4310013032200
511444123323
61204445440
7224055150
oct64071640
927631436
1013661088
117790861
1246a9880
132aa40ac
141b58760
1512ecae3
hexd073a0

13661088 has 96 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 3763200.

The previous prime is 13661083. The next prime is 13661191. The reversal of 13661088 is 88016631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13661083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19138 + ... + 19838.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 213661088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13661088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

13661088 is an abundant number, since it is smaller than the sum of its proper divisors (28795872).

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

13661088 is a wasteful number, since it uses less digits than its factorization.

13661088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13661088 is about 3696.0909079729. The cubic root of 13661088 is about 239.0534943252.

The spelling of 13661088 in words is "thirteen million, six hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 701 812 928 1218 1392 1402 1624 2103 2436 2784 2804 3248 4206 4872 4907 5608 6496 8412 9744 9814 11216 14721 16824 19488 19628 20329 22432 29442 33648 39256 40658 58884 60987 67296 78512 81316 117768 121974 142303 157024 162632 235536 243948 284606 325264 426909 471072 487896 569212 650528 853818 975792 1138424 1707636 1951584 2276848 3415272 4553696 6830544 13661088