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90315764 = 227111747367
BaseRepresentation
bin1010110001000…
…01101111110100
320021221111221022
411120201233310
5141110101024
612543440312
72144446160
oct530415764
9207844838
1090315764
1146a87630
12262b6098
13159328a6
14bdcdca0
157de035e
hex5621bf4

90315764 has 96 divisors (see below), whose sum is σ = 213663744. Its totient is φ = 32325120.

The previous prime is 90315737. The next prime is 90315767. The reversal of 90315764 is 46751309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90315767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245909 + ... + 246275.

It is an arithmetic number, because the mean of its divisors is an integer number (2225664).

Almost surely, 290315764 is an apocalyptic number.

90315764 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90315764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106831872).

90315764 is an abundant number, since it is smaller than the sum of its proper divisors (123347980).

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

90315764 is a wasteful number, since it uses less digits than its factorization.

90315764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 90315764 is about 9503.4606328432. The cubic root of 90315764 is about 448.6639615416.

The spelling of 90315764 in words is "ninety million, three hundred fifteen thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 47 68 77 94 119 154 187 188 238 308 329 367 374 476 517 658 734 748 799 1034 1309 1316 1468 1598 2068 2569 2618 3196 3619 4037 5138 5236 5593 6239 7238 8074 8789 10276 11186 12478 14476 16148 17249 17578 22372 24956 28259 34498 35156 43673 56518 61523 68629 68996 87346 113036 120743 123046 137258 174692 189739 241486 246092 274516 293233 379478 480403 482972 586466 758956 960806 1172932 1328173 1921612 2052631 2656346 3225563 4105262 5312692 6451126 8210524 12902252 22578941 45157882 90315764