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90723264 = 2631313607
BaseRepresentation
bin1010110100001…
…01001111000000
320022201012220220
411122011033000
5141211121024
613000303040
72151064212
oct532051700
9208635826
1090723264
1147235805
1226471a80
1315a46208
14c0985b2
157e70e79
hex56853c0

90723264 has 56 divisors (see below), whose sum is σ = 241938048. Its totient is φ = 30001920.

The previous prime is 90723263. The next prime is 90723289. The reversal of 90723264 is 46232709.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90723263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23349 + ... + 26955.

Almost surely, 290723264 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 90723264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120969024).

90723264 is an abundant number, since it is smaller than the sum of its proper divisors (151214784).

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

90723264 is a wasteful number, since it uses less digits than its factorization.

90723264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 90723264 is about 9524.8760621858. The cubic root of 90723264 is about 449.3377319867.

The spelling of 90723264 in words is "ninety million, seven hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 3607 4192 6288 7214 8384 10821 12576 14428 21642 25152 28856 43284 57712 86568 115424 173136 230848 346272 472517 692544 945034 1417551 1890068 2835102 3780136 5670204 7560272 11340408 15120544 22680816 30241088 45361632 90723264