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114126516 = 22337150961
BaseRepresentation
bin1101100110101…
…10111010110100
321221202020011000
412303112322310
5213204022031
615154043300
72554026240
oct663267264
9257666130
10114126516
115946aa39
1232279530
131a84b6aa
141122b420
15a0453e6
hex6cd6eb4

114126516 has 48 divisors (see below), whose sum is σ = 338154880. Its totient is φ = 32607360.

The previous prime is 114126503. The next prime is 114126517. The reversal of 114126516 is 615621411.

114126516 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 651 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 114126516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114126517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74725 + ... + 76236.

Almost surely, 2114126516 is an apocalyptic number.

It is an amenable number.

114126516 is an abundant number, since it is smaller than the sum of its proper divisors (224028364).

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

114126516 is a wasteful number, since it uses less digits than its factorization.

114126516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150981 (or 150973 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 114126516 is about 10683.0012636899. The cubic root of 114126516 is about 485.0600641238.

Subtracting from 114126516 its sum of digits (27), we obtain a square (114126489 = 106832).

Adding to 114126516 its reverse (615621411), we get a palindrome (729747927).

The spelling of 114126516 in words is "one hundred fourteen million, one hundred twenty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 150961 301922 452883 603844 905766 1056727 1358649 1811532 2113454 2717298 3170181 4075947 4226908 5434596 6340362 8151894 9510543 12680724 16303788 19021086 28531629 38042172 57063258 114126516