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116312544 = 25331031307
BaseRepresentation
bin1101110111011…
…00100111100000
322002212021211000
412323230213200
5214234000134
615312552000
72611432425
oct673544740
9262767730
10116312544
115a723377
1232b52600
131b1356ba
1411639d4c
15a327e99
hex6eec9e0

116312544 has 96 divisors (see below), whose sum is σ = 342800640. Its totient is φ = 38365056.

The previous prime is 116312519. The next prime is 116312557. The reversal of 116312544 is 445213611.

It is a happy number.

116312544 is a `hidden beast` number, since 1 + 1 + 631 + 25 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88339 + ... + 89645.

It is an arithmetic number, because the mean of its divisors is an integer number (3570840).

Almost surely, 2116312544 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 116312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171400320).

116312544 is an abundant number, since it is smaller than the sum of its proper divisors (226488096).

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

116312544 is a wasteful number, since it uses less digits than its factorization.

116312544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1415 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 116312544 is about 10784.8293449642. The cubic root of 116312544 is about 488.1375138754.

The spelling of 116312544 in words is "one hundred sixteen million, three hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 103 108 144 206 216 288 309 412 432 618 824 864 927 1236 1307 1648 1854 2472 2614 2781 3296 3708 3921 4944 5228 5562 7416 7842 9888 10456 11124 11763 14832 15684 20912 22248 23526 29664 31368 35289 41824 44496 47052 62736 70578 88992 94104 125472 134621 141156 188208 269242 282312 376416 403863 538484 564624 807726 1076968 1129248 1211589 1615452 2153936 2423178 3230904 3634767 4307872 4846356 6461808 7269534 9692712 12923616 14539068 19385424 29078136 38770848 58156272 116312544