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99264 = 2631147
BaseRepresentation
bin11000001111000000
312001011110
4120033000
511134024
62043320
7562254
oct301700
9161143
1099264
1168640
1249540
1336249
1428264
151e629
hex183c0

99264 has 56 divisors (see below), whose sum is σ = 292608. Its totient is φ = 29440.

The previous prime is 99259. The next prime is 99277. The reversal of 99264 is 46299.

99264 = T144 + T145 + ... + T152.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

99264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2089 + ... + 2135.

299264 is an apocalyptic number.

99264 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 99264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304).

99264 is an abundant number, since it is smaller than the sum of its proper divisors (193344).

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

99264 is a wasteful number, since it uses less digits than its factorization.

99264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 99264 is about 315.0618986802. The cubic root of 99264 is about 46.3017341721.

It can be divided in two parts, 99 and 264, that added together give a palindrome (363).

The spelling of 99264 in words is "ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 132 141 176 188 192 264 282 352 376 517 528 564 704 752 1034 1056 1128 1504 1551 2068 2112 2256 3008 3102 4136 4512 6204 8272 9024 12408 16544 24816 33088 49632 99264