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13957692 = 2237891867
BaseRepresentation
bin110101001111…
…101000111100
3222021010100120
4311033220330
512033121232
61215054540
7226431660
oct65175074
928233316
1013957692
117973691
124811450
132b790b8
141bd48a0
15135a92c
hexd4fa3c

13957692 has 48 divisors (see below), whose sum is σ = 37658880. Its totient is φ = 3940992.

The previous prime is 13957679. The next prime is 13957703. The reversal of 13957692 is 29675931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6543 + ... + 8409.

It is an arithmetic number, because the mean of its divisors is an integer number (784560).

Almost surely, 213957692 is an apocalyptic number.

13957692 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 13957692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829440).

13957692 is an abundant number, since it is smaller than the sum of its proper divisors (23701188).

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

13957692 is a wasteful number, since it uses less digits than its factorization.

13957692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1968 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 13957692 is about 3735.9994646681. Note that the first 3 decimals coincide. The cubic root of 13957692 is about 240.7711997800.

The spelling of 13957692 in words is "thirteen million, nine hundred fifty-seven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1867 1869 2492 3734 3738 5601 7468 7476 11202 13069 22404 26138 39207 52276 78414 156828 166163 332326 498489 664652 996978 1163141 1993956 2326282 3489423 4652564 6978846 13957692