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116677008 = 24327115751
BaseRepresentation
bin1101111010001…
…01100110010000
322010112210202200
412331011212100
5214332131013
615324443200
72614511130
oct675054620
9263483680
10116677008
115a952188
12330a9500
131b232566
14116d2ac0
15a39ae73
hex6f45990

116677008 has 60 divisors (see below), whose sum is σ = 373184448. Its totient is φ = 33336000.

The previous prime is 116677003. The next prime is 116677013. The reversal of 116677008 is 800776611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116677003) and next prime (116677013).

It is a super-2 number, since 2×1166770082 = 27227048391664128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (116677003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56868 + ... + 58883.

Almost surely, 2116677008 is an apocalyptic number.

116677008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116677008 is an abundant number, since it is smaller than the sum of its proper divisors (256507440).

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

116677008 is a wasteful number, since it uses less digits than its factorization.

116677008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115772 (or 115763 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 116677008 is about 10801.7131974516. The cubic root of 116677008 is about 488.6468399916.

The spelling of 116677008 in words is "one hundred sixteen million, six hundred seventy-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 115751 231502 347253 463004 694506 810257 926008 1041759 1389012 1620514 1852016 2083518 2430771 2778024 3241028 4167036 4861542 5556048 6482056 7292313 8334072 9723084 12964112 14584626 16668144 19446168 29169252 38892336 58338504 116677008