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113368896 = 2634191151
BaseRepresentation
bin1101100000111…
…01111101000000
321220022201220000
412300131331000
5213010301041
615125520000
72544422364
oct660357500
9256281800
10113368896
1158aa2803
1231b73000
131a6448b4
14110b12a4
159e45bb6
hex6c1df40

113368896 has 140 divisors (see below), whose sum is σ = 354055680. Its totient is φ = 35769600.

The previous prime is 113368883. The next prime is 113368901. The reversal of 113368896 is 698863311.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97921 + ... + 99071.

Almost surely, 2113368896 is an apocalyptic number.

113368896 is a gapful number since it is divisible by the number (16) 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 113368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177027840).

113368896 is an abundant number, since it is smaller than the sum of its proper divisors (240686784).

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

113368896 is a wasteful number, since it uses less digits than its factorization.

113368896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1175 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 113368896 is about 10647.4830828699. The cubic root of 113368896 is about 483.9843357178.

The spelling of 113368896 in words is "one hundred thirteen million, three hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1151 1216 1296 1368 1539 1728 1824 2052 2302 2592 2736 3078 3453 3648 4104 4604 5184 5472 6156 6906 8208 9208 10359 10944 12312 13812 16416 18416 20718 21869 24624 27624 31077 32832 36832 41436 43738 49248 55248 62154 65607 73664 82872 87476 93231 98496 110496 124308 131214 165744 174952 186462 196821 220992 248616 262428 331488 349904 372924 393642 497232 524856 590463 662976 699808 745848 787284 994464 1049712 1180926 1399616 1491696 1574568 1771389 1988928 2099424 2361852 2983392 3149136 3542778 4198848 4723704 5966784 6298272 7085556 9447408 12596544 14171112 18894816 28342224 37789632 56684448 113368896