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115713416 = 23713532999
BaseRepresentation
bin1101110010110…
…10010110001000
322001201211222002
412321122112020
5214110312131
615252050132
72603355620
oct671322610
9261654862
10115713416
115a354225
1232903948
131ac85aa0
1411521880
15a25a6cb
hex6e5a588

115713416 has 64 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 44898048.

The previous prime is 115713413. The next prime is 115713427. The reversal of 115713416 is 614317511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (115713413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37085 + ... + 40083.

It is an arithmetic number, because the mean of its divisors is an integer number (4252500).

Almost surely, 2115713416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115713416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

115713416 is an abundant number, since it is smaller than the sum of its proper divisors (156446584).

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

115713416 is a wasteful number, since it uses less digits than its factorization.

115713416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3074 counting only the distinct ones).

The product of its digits is 2520, while the sum is 29.

The square root of 115713416 is about 10757.0170586460. The cubic root of 115713416 is about 487.2979356309.

The spelling of 115713416 in words is "one hundred fifteen million, seven hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 104 106 182 212 364 371 424 689 728 742 1378 1484 2756 2968 2999 4823 5512 5998 9646 11996 19292 20993 23992 38584 38987 41986 77974 83972 155948 158947 167944 272909 311896 317894 545818 635788 1091636 1112629 1271576 2066311 2183272 2225258 4132622 4450516 8265244 8901032 14464177 16530488 28928354 57856708 115713416