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83137104 = 243521383
BaseRepresentation
bin1001111010010…
…01001001010000
312210102210200000
410331021021100
5132240341404
612125530000
72026440141
oct475111120
9183383600
1083137104
1142a24156
1223a13900
13142bb26b
14b081ac8
157473339
hex4f49250

83137104 has 60 divisors (see below), whose sum is σ = 241297056. Its totient is φ = 27711072.

The previous prime is 83137097. The next prime is 83137129. The reversal of 83137104 is 40173138.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6804 + ... + 14579.

Almost surely, 283137104 is an apocalyptic number.

It is an amenable number.

83137104 is an abundant number, since it is smaller than the sum of its proper divisors (158159952).

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

83137104 is a wasteful number, since it uses less digits than its factorization.

83137104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21406 (or 21388 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 83137104 is about 9117.9550338878. The cubic root of 83137104 is about 436.4471186868.

The spelling of 83137104 in words is "eighty-three million, one hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 21383 42766 64149 85532 128298 171064 192447 256596 342128 384894 513192 577341 769788 1026384 1154682 1539576 1732023 2309364 3079152 3464046 4618728 5196069 6928092 9237456 10392138 13856184 20784276 27712368 41568552 83137104