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114342120 = 23325317617
BaseRepresentation
bin1101101000010…
…11100011101000
321222011011220100
412310023203220
5213232421440
615202425400
72555614644
oct664134350
9258134810
10114342120
11595a7a22
1232362260
131a8c5879
1411285c24
15a089230
hex6d0b8e8

114342120 has 48 divisors (see below), whose sum is σ = 371613060. Its totient is φ = 30491136.

The previous prime is 114342113. The next prime is 114342161. The reversal of 114342120 is 21243411.

It can be written as a sum of positive squares in 2 ways, for example, as 92044836 + 22297284 = 9594^2 + 4722^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114342093 and 114342102.

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 11 ways as a sum of consecutive naturals, for example, 158449 + ... + 159168.

Almost surely, 2114342120 is an apocalyptic number.

114342120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114342120 is an abundant number, since it is smaller than the sum of its proper divisors (257270940).

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

114342120 is a wasteful number, since it uses less digits than its factorization.

114342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317634 (or 317627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114342120 is about 10693.0874867832. The cubic root of 114342120 is about 485.3653250625.

Adding to 114342120 its reverse (21243411), we get a palindrome (135585531).

The spelling of 114342120 in words is "one hundred fourteen million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 317617 635234 952851 1270468 1588085 1905702 2540936 2858553 3176170 3811404 4764255 5717106 6352340 7622808 9528510 11434212 12704680 14292765 19057020 22868424 28585530 38114040 57171060 114342120