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116171760 = 2435539133
BaseRepresentation
bin1101110110010…
…10001111110000
322002121010200210
412323022033300
5214214444020
615305544120
72610305115
oct673121760
9262533623
10116171760
115a637621
1232aa5040
131b0b65b3
141160090c
15a2eb3e0
hex6eca3f0

116171760 has 80 divisors (see below), whose sum is σ = 366967584. Its totient is φ = 30391296.

The previous prime is 116171729. The next prime is 116171779. The reversal of 116171760 is 67171611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8154 + ... + 17286.

Almost surely, 2116171760 is an apocalyptic number.

116171760 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 116171760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183483792).

116171760 is an abundant number, since it is smaller than the sum of its proper divisors (250795824).

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

116171760 is a wasteful number, since it uses less digits than its factorization.

116171760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The square root of 116171760 is about 10778.3004226084. The cubic root of 116171760 is about 487.9404881293.

The spelling of 116171760 in words is "one hundred sixteen million, one hundred seventy-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 9133 12720 18266 27399 36532 45665 54798 73064 91330 109596 136995 146128 182660 219192 273990 365320 438384 484049 547980 730640 968098 1095960 1452147 1936196 2191920 2420245 2904294 3872392 4840490 5808588 7260735 7744784 9680980 11617176 14521470 19361960 23234352 29042940 38723920 58085880 116171760