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104040432 = 24321275689
BaseRepresentation
bin1100011001110…
…00011111110000
321020202210122100
412030320133300
5203113243212
614153540400
72402220606
oct614703760
9236683570
10104040432
1153801131
122aa14700
13187298b2
14db63876
159201bdc
hex63387f0

104040432 has 60 divisors (see below), whose sum is σ = 293512960. Its totient is φ = 34401024.

The previous prime is 104040401. The next prime is 104040439. The reversal of 104040432 is 234040401.

It is a super-2 number, since 2×1040404322 = 21648822981493248, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104040439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15444 + ... + 21132.

Almost surely, 2104040432 is an apocalyptic number.

104040432 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 104040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146756480).

104040432 is an abundant number, since it is smaller than the sum of its proper divisors (189472528).

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

104040432 is a wasteful number, since it uses less digits than its factorization.

104040432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104040432 is about 10200.0211764486. The cubic root of 104040432 is about 470.3278714203.

Adding to 104040432 its reverse (234040401), we get a palindrome (338080833).

The spelling of 104040432 in words is "one hundred four million, forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 5689 6096 9144 11378 17067 18288 22756 34134 45512 51201 68268 91024 102402 136536 204804 273072 409608 722503 819216 1445006 2167509 2890012 4335018 5780024 6502527 8670036 11560048 13005054 17340072 26010108 34680144 52020216 104040432