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113919414 = 23721723991
BaseRepresentation
bin1101100101001…
…00010110110110
321221100201001120
412302210112312
5213130410124
615145404410
72552204400
oct662442666
9257321046
10113919414
1159339384
1232199706
131a7a834b
14111b5b70
15a003d79
hex6ca45b6

113919414 has 96 divisors (see below), whose sum is σ = 293124096. Its totient is φ = 29272320.

The previous prime is 113919413. The next prime is 113919439. The reversal of 113919414 is 414919311.

It is a super-2 number, since 2×1139194142 = 25955265772206792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113919413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114459 + ... + 115449.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2113919414 is an apocalyptic number.

113919414 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 113919414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146562048).

113919414 is an abundant number, since it is smaller than the sum of its proper divisors (179204682).

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

113919414 is a wasteful number, since it uses less digits than its factorization.

113919414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1043 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 113919414 is about 10673.3037996677. The cubic root of 113919414 is about 484.7664784330.

The spelling of 113919414 in words is "one hundred thirteen million, nine hundred nineteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 49 51 69 98 102 119 138 147 161 238 294 322 357 391 483 714 782 833 966 991 1127 1173 1666 1982 2254 2346 2499 2737 2973 3381 4998 5474 5946 6762 6937 8211 13874 16422 16847 19159 20811 22793 33694 38318 41622 45586 48559 50541 57477 68379 97118 101082 114954 117929 136758 145677 159551 235858 291354 319102 353787 387481 478653 707574 774962 825503 957306 1116857 1162443 1651006 2233714 2324886 2476509 2712367 3350571 4953018 5424734 6701142 8137101 16274202 18986569 37973138 56959707 113919414