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113323440 = 24351493169
BaseRepresentation
bin1101100000100…
…10110110110000
321220020102112110
412300102312300
5213002322230
615124525320
72544143016
oct660226660
9256212473
10113323440
1158a7163a
1231b50840
131a629cb9
141109c8b6
159e374b0
hex6c12db0

113323440 has 80 divisors (see below), whose sum is σ = 353772000. Its totient is φ = 30007296.

The previous prime is 113323423. The next prime is 113323453. The reversal of 113323440 is 44323311.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34176 + ... + 37344.

It is an arithmetic number, because the mean of its divisors is an integer number (4422150).

Almost surely, 2113323440 is an apocalyptic number.

113323440 is a gapful number since it is divisible by the number (10) 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 113323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176886000).

113323440 is an abundant number, since it is smaller than the sum of its proper divisors (240448560).

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

113323440 is a wasteful number, since it uses less digits than its factorization.

113323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 113323440 is about 10645.3482798826. The cubic root of 113323440 is about 483.9196415094.

Adding to 113323440 its reverse (44323311), we get a palindrome (157646751).

The spelling of 113323440 in words is "one hundred thirteen million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2384 2980 3169 3576 4470 5960 6338 7152 8940 9507 11920 12676 15845 17880 19014 25352 31690 35760 38028 47535 50704 63380 76056 95070 126760 152112 190140 253520 380280 472181 760560 944362 1416543 1888724 2360905 2833086 3777448 4721810 5666172 7082715 7554896 9443620 11332344 14165430 18887240 22664688 28330860 37774480 56661720 113323440