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116536288 = 25112511319
BaseRepresentation
bin1101111001000…
…11001111100000
322010021122201211
412330203033200
5214313130123
615321435504
72613353641
oct674431740
9263248654
10116536288
115a866490
123303bb94
131b1b34ab
14116976c8
15a36e40d
hex6f233e0

116536288 has 48 divisors (see below), whose sum is σ = 251475840. Its totient is φ = 52720000.

The previous prime is 116536267. The next prime is 116536313. The reversal of 116536288 is 882635611.

It is a self number, because there is not a number n which added to its sum of digits gives 116536288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87693 + ... + 89011.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2116536288 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 116536288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125737920).

116536288 is an abundant number, since it is smaller than the sum of its proper divisors (134939552).

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

116536288 is a wasteful number, since it uses less digits than its factorization.

116536288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1583 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 116536288 is about 10795.1974507185. The cubic root of 116536288 is about 488.4503144236.

The spelling of 116536288 in words is "one hundred sixteen million, five hundred thirty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 251 352 502 1004 1319 2008 2638 2761 4016 5276 5522 8032 10552 11044 14509 21104 22088 29018 42208 44176 58036 88352 116072 232144 331069 464288 662138 1324276 2648552 3641759 5297104 7283518 10594208 14567036 29134072 58268144 116536288