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83076136 = 231113101719
BaseRepresentation
bin1001111001110…
…10010000101000
312210022201000221
410330322100220
5132231414021
612124335424
72026064323
oct474722050
9183281027
1083076136
1142992370
12239a4574
13142995a0
14b0677ba
157460241
hex4f3a428

83076136 has 64 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 34464000.

The previous prime is 83076107. The next prime is 83076143. The reversal of 83076136 is 63167038.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115185 + ... + 115903.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 283076136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83076136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

83076136 is an abundant number, since it is smaller than the sum of its proper divisors (101992664).

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

83076136 is a wasteful number, since it uses less digits than its factorization.

83076136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 83076136 is about 9114.6111271957. The cubic root of 83076136 is about 436.3404041398.

The spelling of 83076136 in words is "eighty-three million, seventy-six thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 101 104 143 202 286 404 572 719 808 1111 1144 1313 1438 2222 2626 2876 4444 5252 5752 7909 8888 9347 10504 14443 15818 18694 28886 31636 37388 57772 63272 72619 74776 102817 115544 145238 205634 290476 411268 580952 798809 822536 944047 1597618 1888094 3195236 3776188 6390472 7552376 10384517 20769034 41538068 83076136