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116407044 = 22341329953
BaseRepresentation
bin1101111000000…
…11101100000100
322010001002110000
412330003230010
5214300011134
615315001300
72612305065
oct674035404
9263032400
10116407044
115a788376
1232b99230
131b169710
141166256c
15a345e99
hex6f03b04

116407044 has 120 divisors (see below), whose sum is σ = 339375960. Its totient is φ = 34546176.

The previous prime is 116407043. The next prime is 116407061. The reversal of 116407044 is 440704611.

116407044 is a `hidden beast` number, since 11 + 640 + 7 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3240000 + 113167044 = 1800^2 + 10638^2 .

It is a super-4 number, since 4×1164070444 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116406999 and 116407017.

It is not an unprimeable number, because it can be changed into a prime (116407043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121672 + ... + 122624.

It is an arithmetic number, because the mean of its divisors is an integer number (2828133).

Almost surely, 2116407044 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 116407044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169687980).

116407044 is an abundant number, since it is smaller than the sum of its proper divisors (222968916).

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

116407044 is a wasteful number, since it uses less digits than its factorization.

116407044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 116407044 is about 10789.2096096053. The cubic root of 116407044 is about 488.2696764848.

The spelling of 116407044 in words is "one hundred sixteen million, four hundred seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 261 324 348 351 377 468 522 702 754 783 953 1044 1053 1131 1404 1508 1566 1906 2106 2262 2349 2859 3132 3393 3812 4212 4524 4698 5718 6786 8577 9396 10179 11436 12389 13572 17154 20358 24778 25731 27637 30537 34308 37167 40716 49556 51462 55274 61074 74334 77193 82911 102924 110548 111501 122148 148668 154386 165822 223002 248733 308772 331644 334503 359281 446004 497466 669006 718562 746199 994932 1003509 1077843 1338012 1437124 1492398 2007018 2155686 2238597 2984796 3233529 4014036 4311372 4477194 6467058 8954388 9700587 12934116 19401174 29101761 38802348 58203522 116407044