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13900032 = 28332011
BaseRepresentation
bin110101000001…
…100100000000
3222011012021000
4311001210000
512024300112
61213532000
7226101606
oct65014400
928135230
1013900032
117934333
1247a4000
132b58a93
141bbb876
1513487dc
hexd41900

13900032 has 72 divisors (see below), whose sum is σ = 41125280. Its totient is φ = 4631040.

The previous prime is 13900013. The next prime is 13900043. The reversal of 13900032 is 23000931.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13899978 and 13900014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5907 + ... + 7917.

Almost surely, 213900032 is an apocalyptic number.

13900032 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 13900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20562640).

13900032 is an abundant number, since it is smaller than the sum of its proper divisors (27225248).

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

13900032 is an equidigital number, since it uses as much as digits as its factorization.

13900032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13900032 is about 3728.2746679932. The cubic root of 13900032 is about 240.4391957891.

Adding to 13900032 its reverse (23000931), we get a palindrome (36900963).

The spelling of 13900032 in words is "thirteen million, nine hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2011 2304 3456 4022 6033 6912 8044 12066 16088 18099 24132 32176 36198 48264 54297 64352 72396 96528 108594 128704 144792 193056 217188 257408 289584 386112 434376 514816 579168 772224 868752 1158336 1544448 1737504 2316672 3475008 4633344 6950016 13900032