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104233152 = 2634113241
BaseRepresentation
bin1100011011001…
…11100011000000
321021010121000010
412031213203000
5203140430102
614202024520
72403652512
oct615474300
9237117003
10104233152
1153922a01
122aaa8140
131879652a
14dbb3bb2
15923dd6c
hex63678c0

104233152 has 56 divisors (see below), whose sum is σ = 282531312. Its totient is φ = 33894400.

The previous prime is 104233127. The next prime is 104233177. The reversal of 104233152 is 251332401.

It is an interprime number because it is at equal distance from previous prime (104233127) and next prime (104233177).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252 + ... + 14492.

It is an arithmetic number, because the mean of its divisors is an integer number (5045202).

Almost surely, 2104233152 is an apocalyptic number.

104233152 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 104233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141265656).

104233152 is an abundant number, since it is smaller than the sum of its proper divisors (178298160).

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

104233152 is a wasteful number, since it uses less digits than its factorization.

104233152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13297 (or 13287 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 104233152 is about 10209.4638448843. The cubic root of 104233152 is about 470.6180973011.

Adding to 104233152 its reverse (251332401), we get a palindrome (355565553).

The spelling of 104233152 in words is "one hundred four million, two hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 13241 26482 39723 52964 79446 105928 158892 211856 317784 423712 542881 635568 847424 1085762 1271136 1628643 2171524 2542272 3257286 4343048 6514572 8686096 13029144 17372192 26058288 34744384 52116576 104233152