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13961928 = 2334383163
BaseRepresentation
bin110101010000…
…101011001000
3222021100011110
4311100223020
512033240203
61215130320
7226450221
oct65205310
928240143
1013961928
117976892
1248139a0
132b7acc6
141bd6248
15135bd03
hexd50ac8

13961928 has 64 divisors (see below), whose sum is σ = 36368640. Its totient is φ = 4463424.

The previous prime is 13961923. The next prime is 13961933. The reversal of 13961928 is 82916931.

It is an interprime number because it is at equal distance from previous prime (13961923) and next prime (13961933).

It is not an unprimeable number, because it can be changed into a prime (13961921) 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, 85575 + ... + 85737.

It is an arithmetic number, because the mean of its divisors is an integer number (568260).

Almost surely, 213961928 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 13961928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184320).

13961928 is an abundant number, since it is smaller than the sum of its proper divisors (22406712).

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

13961928 is a wasteful number, since it uses less digits than its factorization.

13961928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 13961928 is about 3736.5663382309. The cubic root of 13961928 is about 240.7955544188.

The spelling of 13961928 in words is "thirteen million, nine hundred sixty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 83 86 129 163 166 172 249 258 326 332 344 489 498 516 652 664 978 996 1032 1304 1956 1992 3569 3912 7009 7138 10707 13529 14018 14276 21027 21414 27058 28036 28552 40587 42054 42828 54116 56072 81174 84108 85656 108232 162348 168216 324696 581747 1163494 1745241 2326988 3490482 4653976 6980964 13961928