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113916894 = 237131979139
BaseRepresentation
bin1101100101000…
…11101111011110
321221100120121020
412302203233132
5213130320034
615145345010
72552164140
oct662435736
9257316536
10113916894
11593374a3
1232198166
131a7a7160
14111b4c90
15a003249
hex6ca3bde

113916894 has 128 divisors (see below), whose sum is σ = 301056000. Its totient is φ = 27900288.

The previous prime is 113916893. The next prime is 113916917. The reversal of 113916894 is 498619311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113916893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 819477 + ... + 819615.

It is an arithmetic number, because the mean of its divisors is an integer number (2352000).

Almost surely, 2113916894 is an apocalyptic number.

113916894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113916894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150528000).

113916894 is an abundant number, since it is smaller than the sum of its proper divisors (187139106).

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

113916894 is a wasteful number, since it uses less digits than its factorization.

113916894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its digits is 46656, while the sum is 42.

The square root of 113916894 is about 10673.1857474702. The cubic root of 113916894 is about 484.7629039163.

The spelling of 113916894 in words is "one hundred thirteen million, nine hundred sixteen thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 79 91 114 133 139 158 182 237 247 266 273 278 399 417 474 494 546 553 741 798 834 973 1027 1106 1482 1501 1659 1729 1807 1946 2054 2641 2919 3002 3081 3318 3458 3614 4503 5187 5282 5421 5838 6162 7189 7923 9006 10374 10507 10842 10981 12649 14378 15846 18487 19513 21014 21567 21962 25298 31521 32943 34333 36974 37947 39026 43134 55461 58539 63042 65886 68666 75894 76867 102999 110922 117078 136591 142753 153734 205998 208639 230601 240331 273182 285506 409773 417278 428259 461202 480662 625917 720993 819546 856518 999271 1251834 1441986 1460473 1998542 2712307 2920946 2997813 4381419 5424614 5995626 8136921 8762838 16273842 18986149 37972298 56958447 113916894