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13235970 = 23511192111
BaseRepresentation
bin110010011111…
…011100000010
3220220110100010
4302133130002
511342022340
61151405350
7220334556
oct62373402
926813303
1013235970
117520420
124523856
132985747
141a87866
151266b80
hexc9f702

13235970 has 64 divisors (see below), whose sum is σ = 36495360. Its totient is φ = 3038400.

The previous prime is 13235969. The next prime is 13236011. The reversal of 13235970 is 7953231.

13235970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5215 + ... + 7325.

It is an arithmetic number, because the mean of its divisors is an integer number (570240).

Almost surely, 213235970 is an apocalyptic number.

13235970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13235970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247680).

13235970 is an abundant number, since it is smaller than the sum of its proper divisors (23259390).

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

13235970 is a wasteful number, since it uses less digits than its factorization.

13235970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13235970 is about 3638.1272655035. The cubic root of 13235970 is about 236.5476246749.

The spelling of 13235970 in words is "thirteen million, two hundred thirty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 2111 3135 4222 6270 6333 10555 12666 21110 23221 31665 40109 46442 63330 69663 80218 116105 120327 139326 200545 232210 240654 348315 401090 441199 601635 696630 882398 1203270 1323597 2205995 2647194 4411990 6617985 13235970