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113263326 = 23311474057
BaseRepresentation
bin1101100000001…
…00001011011110
321220010101002000
412300010023132
5212443411301
615123343130
72543502531
oct660041336
9256111060
10113263326
1158a30460
1231b21aa6
131a608827
1411084a18
159e24786
hex6c042de

113263326 has 64 divisors (see below), whose sum is σ = 280488960. Its totient is φ = 33583680.

The previous prime is 113263309. The next prime is 113263331. The reversal of 113263326 is 623362311.

It is a happy number.

113263326 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 633 + 26 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113263326.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25890 + ... + 29946.

It is an arithmetic number, because the mean of its divisors is an integer number (4382640).

Almost surely, 2113263326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113263326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140244480).

113263326 is an abundant number, since it is smaller than the sum of its proper divisors (167225634).

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

113263326 is a wasteful number, since it uses less digits than its factorization.

113263326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4120 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 113263326 is about 10642.5244185766. The cubic root of 113263326 is about 483.8340590660.

The spelling of 113263326 in words is "one hundred thirteen million, two hundred sixty-three thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1269 1551 2538 3102 4057 4653 8114 9306 12171 13959 24342 27918 36513 44627 73026 89254 109539 133881 190679 219078 267762 381358 401643 572037 803286 1144074 1204929 1716111 2097469 2409858 3432222 4194938 5148333 6292407 10296666 12584814 18877221 37754442 56631663 113263326