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90832104 = 23341112743
BaseRepresentation
bin1010110100111…
…11110011101000
320022220202020000
411122133303220
5141223111404
613002503000
72152026426
oct532376350
9208822200
1090832104
11472aa560
1226504a60
1315a8390c
14c0c6116
157e93339
hex569fce8

90832104 has 80 divisors (see below), whose sum is σ = 277564320. Its totient is φ = 27522720.

The previous prime is 90832099. The next prime is 90832121. The reversal of 90832104 is 40123809.

It is a super-2 number, since 2×908321042 = 16500942234133632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 757 + ... + 13499.

It is an arithmetic number, because the mean of its divisors is an integer number (3469554).

Almost surely, 290832104 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 90832104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138782160).

90832104 is an abundant number, since it is smaller than the sum of its proper divisors (186732216).

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

90832104 is a wasteful number, since it uses less digits than its factorization.

90832104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12772 (or 12759 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90832104 is about 9530.5878097838. The cubic root of 90832104 is about 449.5173491810.

The spelling of 90832104 in words is "ninety million, eight hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 12743 25486 38229 50972 76458 101944 114687 140173 152916 229374 280346 305832 344061 420519 458748 560692 688122 841038 917496 1032183 1121384 1261557 1376244 1682076 2064366 2523114 2752488 3364152 3784671 4128732 5046228 7569342 8257464 10092456 11354013 15138684 22708026 30277368 45416052 90832104