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116649720 = 23355111091
BaseRepresentation
bin1101111001111…
…10111011111000
322010111102100000
412330332323320
5214330242340
615324113000
72614335435
oct674767370
9263442300
10116649720
115a933730
1233095760
131b223005
14116c6b8c
15a392d30
hex6f3eef8

116649720 has 192 divisors, whose sum is σ = 429287040. Its totient is φ = 28252800.

The previous prime is 116649713. The next prime is 116649727. The reversal of 116649720 is 27946611.

116649720 is a `hidden beast` number, since 1 + 1 + 6 + 649 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116649713) and next prime (116649727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116649727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106375 + ... + 107465.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2116649720 is an apocalyptic number.

116649720 is a gapful number since it is divisible by the number (10) 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 116649720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

116649720 is an abundant number, since it is smaller than the sum of its proper divisors (312637320).

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

116649720 is a wasteful number, since it uses less digits than its factorization.

116649720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 116649720 is about 10800.4499906254. The cubic root of 116649720 is about 488.6087426982.

It can be divided in two parts, 116649 and 720, that multiplied together give a triangular number (83987280 = T12960).

The spelling of 116649720 in words is "one hundred sixteen million, six hundred forty-nine thousand, seven hundred twenty".