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13940892 = 2232731129
BaseRepresentation
bin110101001011…
…100010011100
3222020021022100
4311023202130
512032102032
61214445100
7226332000
oct65134234
928207270
1013940892
117961aa9
124803790
132b71564
141bcc700
15135597c
hexd4b89c

13940892 has 72 divisors (see below), whose sum is σ = 41132000. Its totient is φ = 3979584.

The previous prime is 13940873. The next prime is 13940903. The reversal of 13940892 is 29804931.

13940892 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11784 + ... + 12912.

Almost surely, 213940892 is an apocalyptic number.

13940892 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 13940892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20566000).

13940892 is an abundant number, since it is smaller than the sum of its proper divisors (27191108).

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

13940892 is a wasteful number, since it uses less digits than its factorization.

13940892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13940892 is about 3733.7503933713. The cubic root of 13940892 is about 240.6745605904.

The spelling of 13940892 in words is "thirteen million, nine hundred forty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1129 1372 1764 2058 2258 3087 3387 4116 4516 6174 6774 7903 10161 12348 13548 15806 20322 23709 31612 40644 47418 55321 71127 94836 110642 142254 165963 221284 284508 331926 387247 497889 663852 774494 995778 1161741 1548988 1991556 2323482 3485223 4646964 6970446 13940892