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117460980 = 2232571371101
BaseRepresentation
bin1110000000001…
…00111111110100
322012000122011200
413000010333310
5220032222410
615353332500
72624254560
oct700047764
9265018150
10117460980
116033819a
1233407130
131b448350
14118586a0
15a4a33c0
hex7004ff4

117460980 has 288 divisors, whose sum is σ = 449100288. Its totient is φ = 24192000.

The previous prime is 117460979. The next prime is 117460997. The reversal of 117460980 is 89064711.

117460980 is a `hidden beast` number, since 117 + 460 + 9 + 80 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1162930 + ... + 1163030.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 2117460980 is an apocalyptic number.

117460980 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 117460980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224550144).

117460980 is an abundant number, since it is smaller than the sum of its proper divisors (331639308).

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

117460980 is a wasteful number, since it uses less digits than its factorization.

117460980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 117460980 is about 10837.9416865012. The cubic root of 117460980 is about 489.7388306955.

The spelling of 117460980 in words is "one hundred seventeen million, four hundred sixty thousand, nine hundred eighty".