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13697112 = 23311132307
BaseRepresentation
bin110100010000…
…000001011000
3221202212220110
4310100001120
512001301422
61205324320
7224265162
oct64200130
927685813
1013697112
117805930
1247066a0
132ab7600
141b67932
15130860c
hexd10058

13697112 has 96 divisors (see below), whose sum is σ = 40582080. Its totient is φ = 3818880.

The previous prime is 13697093. The next prime is 13697113. The reversal of 13697112 is 21179631.

It is a super-2 number, since 2×136971122 = 375221754281088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13697112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13697113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44463 + ... + 44769.

It is an arithmetic number, because the mean of its divisors is an integer number (422730).

Almost surely, 213697112 is an apocalyptic number.

13697112 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 13697112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20291040).

13697112 is an abundant number, since it is smaller than the sum of its proper divisors (26884968).

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

13697112 is a wasteful number, since it uses less digits than its factorization.

13697112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 13697112 is about 3700.9609562923. The cubic root of 13697112 is about 239.2634362312.

The spelling of 13697112 in words is "thirteen million, six hundred ninety-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 169 264 286 307 312 338 429 507 572 614 676 858 921 1014 1144 1228 1352 1716 1842 1859 2028 2456 3377 3432 3684 3718 3991 4056 5577 6754 7368 7436 7982 10131 11154 11973 13508 14872 15964 20262 22308 23946 27016 31928 40524 43901 44616 47892 51883 81048 87802 95784 103766 131703 155649 175604 207532 263406 311298 351208 415064 526812 570713 622596 1053624 1141426 1245192 1712139 2282852 3424278 4565704 6848556 13697112