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13970832 = 2433141229
BaseRepresentation
bin110101010010…
…110110010000
3222021210101020
4311102312100
512034031312
61215235440
7226515201
oct65226620
928253336
1013970832
117982547
124818b80
132b82085
141bd95a8
15135e78c
hexd52d90

13970832 has 80 divisors (see below), whose sum is σ = 38330880. Its totient is φ = 4377600.

The previous prime is 13970783. The next prime is 13970839. The reversal of 13970832 is 23807931.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13970793 and 13970802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13970839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60894 + ... + 61122.

It is an arithmetic number, because the mean of its divisors is an integer number (479136).

Almost surely, 213970832 is an apocalyptic number.

13970832 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 13970832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165440).

13970832 is an abundant number, since it is smaller than the sum of its proper divisors (24360048).

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

13970832 is a wasteful number, since it uses less digits than its factorization.

13970832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 13970832 is about 3737.7576165396. The cubic root of 13970832 is about 240.8467314005.

The spelling of 13970832 in words is "thirteen million, nine hundred seventy thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 229 246 248 328 372 458 492 496 656 687 744 916 984 1271 1374 1488 1832 1968 2542 2748 3664 3813 5084 5496 7099 7626 9389 10168 10992 14198 15252 18778 20336 21297 28167 28396 30504 37556 42594 56334 56792 61008 75112 85188 112668 113584 150224 170376 225336 291059 340752 450672 582118 873177 1164236 1746354 2328472 3492708 4656944 6985416 13970832