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104022432 = 25322511439
BaseRepresentation
bin1100011001101…
…00000110100000
321020201212221200
412030310012200
5203112204212
614153321200
72402114253
oct614640640
9236655850
10104022432
1153799658
122aa06200
1318721647
14db5b09a
1591eb6dc
hex63341a0

104022432 has 72 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 34512000.

The previous prime is 104022427. The next prime is 104022433. The reversal of 104022432 is 234220401.

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 not an unprimeable number, because it can be changed into a prime (104022433) 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, 71569 + ... + 73007.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2104022432 is an apocalyptic number.

104022432 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 104022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

104022432 is an abundant number, since it is smaller than the sum of its proper divisors (193176288).

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

104022432 is a wasteful number, since it uses less digits than its factorization.

104022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1695 counting only the distinct ones).

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

The square root of 104022432 is about 10199.1387871722. The cubic root of 104022432 is about 470.3007461005.

Adding to 104022432 its reverse (234220401), we get a palindrome (338242833).

The spelling of 104022432 in words is "one hundred four million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 251 288 502 753 1004 1439 1506 2008 2259 2878 3012 4016 4317 4518 5756 6024 8032 8634 9036 11512 12048 12951 17268 18072 23024 24096 25902 34536 36144 46048 51804 69072 72288 103608 138144 207216 361189 414432 722378 1083567 1444756 2167134 2889512 3250701 4334268 5779024 6501402 8668536 11558048 13002804 17337072 26005608 34674144 52011216 104022432