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116687556 = 223223532659
BaseRepresentation
bin1101111010010…
…00001011000100
322010120100020100
412331020023010
5214333000211
615325004100
72614553646
oct675101304
9263510210
10116687556
115a95a0a7
12330b3630
131b2372bb
14116d6896
15a39e156
hex6f482c4

116687556 has 72 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 36489024.

The previous prime is 116687551. The next prime is 116687563. The reversal of 116687556 is 655786611.

116687556 is a `hidden beast` number, since 1 + 16 + 6 + 87 + 556 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (116687551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42555 + ... + 45213.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2116687556 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 116687556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

116687556 is an abundant number, since it is smaller than the sum of its proper divisors (197022204).

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

116687556 is a wasteful number, since it uses less digits than its factorization.

116687556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2740 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 116687556 is about 10802.2014422987. The cubic root of 116687556 is about 488.6615646623.

The spelling of 116687556 in words is "one hundred sixteen million, six hundred eighty-seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 92 106 138 159 207 212 276 318 414 477 636 828 954 1219 1908 2438 2659 3657 4876 5318 7314 7977 10636 10971 14628 15954 21942 23931 31908 43884 47862 61157 95724 122314 140927 183471 244628 281854 366942 422781 550413 563708 733884 845562 1100826 1268343 1691124 2201652 2536686 3241321 5073372 6482642 9723963 12965284 19447926 29171889 38895852 58343778 116687556