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83101056 = 273379571
BaseRepresentation
bin1001111010000…
…00010110000000
312210100222012220
410331000112000
5132233213211
612125051040
72026230063
oct475002600
9183328186
1083101056
11429aa065
12239b6a80
13142a7a2c
14b0728da
157467806
hex4f40580

83101056 has 64 divisors (see below), whose sum is σ = 221707200. Its totient is φ = 27578880.

The previous prime is 83101033. The next prime is 83101091. The reversal of 83101056 is 65010138.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 145251 + ... + 145821.

It is an arithmetic number, because the mean of its divisors is an integer number (3464175).

Almost surely, 283101056 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 83101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110853600).

83101056 is an abundant number, since it is smaller than the sum of its proper divisors (138606144).

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

83101056 is a wasteful number, since it uses less digits than its factorization.

83101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 83101056 is about 9115.9780605265. The cubic root of 83101056 is about 436.3840288450.

The spelling of 83101056 in words is "eighty-three million, one hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 379 384 571 758 1137 1142 1516 1713 2274 2284 3032 3426 4548 4568 6064 6852 9096 9136 12128 13704 18192 18272 24256 27408 36384 36544 48512 54816 72768 73088 109632 145536 216409 219264 432818 649227 865636 1298454 1731272 2596908 3462544 5193816 6925088 10387632 13850176 20775264 27700352 41550528 83101056