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83104128 = 273272139
BaseRepresentation
bin1001111010000…
…01000110000000
312210101010102200
410331001012000
5132233313003
612125113200
72026242042
oct475010600
9183333380
1083104128
1142a013a8
12239b8800
13142a9253
14b073a92
1574686a3
hex4f41180

83104128 has 48 divisors (see below), whose sum is σ = 239144100. Its totient is φ = 27700992.

The previous prime is 83104123. The next prime is 83104141. The reversal of 83104128 is 82140138.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83104121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34918 + ... + 37221.

Almost surely, 283104128 is an apocalyptic number.

It is an amenable number.

83104128 is an abundant number, since it is smaller than the sum of its proper divisors (156039972).

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

83104128 is a wasteful number, since it uses less digits than its factorization.

83104128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72159 (or 72144 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 83104128 is about 9116.1465543288. The cubic root of 83104128 is about 436.3894060539.

The spelling of 83104128 in words is "eighty-three million, one hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 72139 144278 216417 288556 432834 577112 649251 865668 1154224 1298502 1731336 2308448 2597004 3462672 4616896 5194008 6925344 9233792 10388016 13850688 20776032 27701376 41552064 83104128