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114010120 = 2357407179
BaseRepresentation
bin1101100101110…
…10100000001000
321221112022111001
412302322200020
5213141310440
615151344344
72553033010
oct662724010
9257468431
10114010120
11593a0544
12322220b4
131a80a713
14111dac40
15a020b9a
hex6cba808

114010120 has 32 divisors (see below), whose sum is σ = 293169600. Its totient is φ = 39089088.

The previous prime is 114010093. The next prime is 114010121. The reversal of 114010120 is 21010411.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 114010097 and 114010106.

It is not an unprimeable number, because it can be changed into a prime (114010121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203310 + ... + 203869.

It is an arithmetic number, because the mean of its divisors is an integer number (9161550).

Almost surely, 2114010120 is an apocalyptic number.

114010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114010120 is an abundant number, since it is smaller than the sum of its proper divisors (179159480).

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

114010120 is a wasteful number, since it uses less digits than its factorization.

114010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407197 (or 407193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 114010120 is about 10677.5521539349. The cubic root of 114010120 is about 484.8951060930.

Adding to 114010120 its reverse (21010411), we get a palindrome (135020531).

The spelling of 114010120 in words is "one hundred fourteen million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 407179 814358 1628716 2035895 2850253 3257432 4071790 5700506 8143580 11401012 14251265 16287160 22802024 28502530 57005060 114010120