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114351720 = 23357136133
BaseRepresentation
bin1101101000011…
…01111001101000
321222011200001220
412310031321220
5213233223340
615202542040
72555654640
oct664157150
9258150056
10114351720
115960415a
1232367920
131a8ca052
1411289520
15a08bed0
hex6d0de68

114351720 has 64 divisors (see below), whose sum is σ = 392065920. Its totient is φ = 26137344.

The previous prime is 114351703. The next prime is 114351737. The reversal of 114351720 is 27153411.

It is an interprime number because it is at equal distance from previous prime (114351703) and next prime (114351737).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 67227 + ... + 68906.

It is an arithmetic number, because the mean of its divisors is an integer number (6126030).

Almost surely, 2114351720 is an apocalyptic number.

114351720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114351720 is an abundant number, since it is smaller than the sum of its proper divisors (277714200).

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

114351720 is a wasteful number, since it uses less digits than its factorization.

114351720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136154 (or 136150 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 114351720 is about 10693.5363654873. The cubic root of 114351720 is about 485.3789082073.

The spelling of 114351720 in words is "one hundred fourteen million, three hundred fifty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 136133 272266 408399 544532 680665 816798 952931 1089064 1361330 1633596 1905862 2041995 2722660 2858793 3267192 3811724 4083990 4764655 5445320 5717586 7623448 8167980 9529310 11435172 14293965 16335960 19058620 22870344 28587930 38117240 57175860 114351720