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116649432 = 23321818951
BaseRepresentation
bin1101111001111…
…10110111011000
322010111101221100
412330332313120
5214330240212
615324111400
72614334544
oct674766730
9263441840
10116649432
115a933499
1233095560
131b222b43
14116c6a24
15a392bdc
hex6f3edd8

116649432 has 48 divisors (see below), whose sum is σ = 317706480. Its totient is φ = 38664000.

The previous prime is 116649389. The next prime is 116649499. The reversal of 116649432 is 234946611.

116649432 is a `hidden beast` number, since 1 + 1 + 6 + 649 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8557 + ... + 17507.

It is an arithmetic number, because the mean of its divisors is an integer number (6618885).

Almost surely, 2116649432 is an apocalyptic number.

116649432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116649432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158853240).

116649432 is an abundant number, since it is smaller than the sum of its proper divisors (201057048).

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

116649432 is a wasteful number, since it uses less digits than its factorization.

116649432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9144 (or 9137 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 116649432 is about 10800.4366578393. The cubic root of 116649432 is about 488.6083405842.

The spelling of 116649432 in words is "one hundred sixteen million, six hundred forty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 4344 6516 8951 13032 17902 26853 35804 53706 71608 80559 107412 161118 214824 322236 644472 1620131 3240262 4860393 6480524 9720786 12961048 14581179 19441572 29162358 38883144 58324716 116649432