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114104520 = 23325316957
BaseRepresentation
bin1101100110100…
…01100011001000
321221201002222100
412303101203020
5213202321040
615153353400
72553605145
oct663214310
9257632870
10114104520
1159455462
1232268860
131a84168a
14112233cc
15a03db30
hex6cd18c8

114104520 has 48 divisors (see below), whose sum is σ = 370840860. Its totient is φ = 30427776.

The previous prime is 114104513. The next prime is 114104611. The reversal of 114104520 is 25401411.

114104520 is a `hidden beast` number, since 1 + 141 + 0 + 4 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104407524 + 9696996 = 10218^2 + 3114^2 .

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

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 114104493 and 114104502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158119 + ... + 158838.

Almost surely, 2114104520 is an apocalyptic number.

114104520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114104520 is an abundant number, since it is smaller than the sum of its proper divisors (256736340).

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

114104520 is a wasteful number, since it uses less digits than its factorization.

114104520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316974 (or 316967 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114104520 is about 10681.9717281034. The cubic root of 114104520 is about 485.0288996844.

Adding to 114104520 its reverse (25401411), we get a palindrome (139505931).

The spelling of 114104520 in words is "one hundred fourteen million, one hundred four thousand, five 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 316957 633914 950871 1267828 1584785 1901742 2535656 2852613 3169570 3803484 4754355 5705226 6339140 7606968 9508710 11410452 12678280 14263065 19017420 22820904 28526130 38034840 57052260 114104520