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13797792 = 2532232083
BaseRepresentation
bin110100101000…
…100110100000
3221222000000100
4310220212200
512013012132
61211422400
7225164541
oct64504640
927860010
1013797792
117874538
124754a00
132b21398
141b924c8
15132837c
hexd289a0

13797792 has 72 divisors (see below), whose sum is σ = 40963104. Its totient is φ = 4397184.

The previous prime is 13797767. The next prime is 13797809. The reversal of 13797792 is 29779731.

It is a tau number, because it is divible by the number of its divisors (72).

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, 5583 + ... + 7665.

It is an arithmetic number, because the mean of its divisors is an integer number (568932).

Almost surely, 213797792 is an apocalyptic number.

13797792 is a gapful number since it is divisible by the number (12) 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 13797792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20481552).

13797792 is an abundant number, since it is smaller than the sum of its proper divisors (27165312).

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

13797792 is a wasteful number, since it uses less digits than its factorization.

13797792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2111 counting only the distinct ones).

The product of its digits is 166698, while the sum is 45.

The square root of 13797792 is about 3714.5379255030. The cubic root of 13797792 is about 239.8482373874.

The spelling of 13797792 in words is "thirteen million, seven hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2083 2208 3312 4166 6249 6624 8332 12498 16664 18747 24996 33328 37494 47909 49992 66656 74988 95818 99984 143727 149976 191636 199968 287454 299952 383272 431181 574908 599904 766544 862362 1149816 1533088 1724724 2299632 3449448 4599264 6898896 13797792