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14031792 = 2437401
BaseRepresentation
bin110101100001…
…101110110000
3222101220000000
4311201232300
512043004132
61220430000
7230161005
oct65415660
928356000
1014031792
117a14325
124848300
132ba3a48
141c138ac
15137287c
hexd61bb0

14031792 has 80 divisors (see below), whose sum is σ = 40875360. Its totient is φ = 4665600.

The previous prime is 14031791. The next prime is 14031811. The reversal of 14031792 is 29713041.

14031792 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 (27).

It is not an unprimeable number, because it can be changed into a prime (14031791) 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, 34792 + ... + 35192.

It is an arithmetic number, because the mean of its divisors is an integer number (510942).

Almost surely, 214031792 is an apocalyptic number.

14031792 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 14031792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437680).

14031792 is an abundant number, since it is smaller than the sum of its proper divisors (26843568).

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

14031792 is an frugal number, since it uses more digits than its factorization.

14031792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14031792 is about 3745.9033623413. The cubic root of 14031792 is about 241.1965247884.

The spelling of 14031792 in words is "fourteen million, thirty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 401 432 486 648 729 802 972 1203 1296 1458 1604 1944 2187 2406 2916 3208 3609 3888 4374 4812 5832 6416 7218 8748 9624 10827 11664 14436 17496 19248 21654 28872 32481 34992 43308 57744 64962 86616 97443 129924 173232 194886 259848 292329 389772 519696 584658 779544 876987 1169316 1559088 1753974 2338632 3507948 4677264 7015896 14031792