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116139100 = 225271115083
BaseRepresentation
bin1101110110000…
…10010001011100
322002112110220011
412323002101130
5214212422400
615305133004
72610110650
oct673022134
9262473804
10116139100
115a615030
1232a8a164
131b0a477c
14115d2a60
15a2e18ba
hex6ec245c

116139100 has 72 divisors (see below), whose sum is σ = 314229888. Its totient is φ = 36196800.

The previous prime is 116139097. The next prime is 116139103. The reversal of 116139100 is 1931611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116139097) and next prime (116139103).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116139103) 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 23 ways as a sum of consecutive naturals, for example, 159 + ... + 15241.

It is an arithmetic number, because the mean of its divisors is an integer number (4364304).

Almost surely, 2116139100 is an apocalyptic number.

116139100 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 116139100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157114944).

116139100 is an abundant number, since it is smaller than the sum of its proper divisors (198090788).

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

116139100 is a wasteful number, since it uses less digits than its factorization.

116139100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15115 (or 15108 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 116139100 is about 10776.7852349390. The cubic root of 116139100 is about 487.8947580541.

The spelling of 116139100 in words is "one hundred sixteen million, one hundred thirty-nine thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 15083 30166 60332 75415 105581 150830 165913 211162 301660 331826 377075 422324 527905 663652 754150 829565 1055810 1161391 1508300 1659130 2111620 2322782 2639525 3318260 4147825 4645564 5279050 5806955 8295650 10558100 11613910 16591300 23227820 29034775 58069550 116139100