114252840 has 96 divisors (see below), whose sum is σ = 399901320. Its totient is φ = 28122624.

The previous prime is 114252839. The next prime is 114252841. The reversal of 114252840 is 48252411.

It is an interprime number because it is at equal distance from previous prime (114252839) and next prime (114252841).

It can be written as a sum of positive squares in 4 ways, for example, as 53319204 + 60933636 = 7302^2 + 7806^2 .

It is a super-2 number, since 2×114252840² = 26107422896131200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114252841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7527 + ... + 16886.

Almost surely, 2^114252840 is an apocalyptic number.

114252840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114252840 is an abundant number, since it is smaller than the sum of its proper divisors (285648480).

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

114252840 is a wasteful number, since it uses less digits than its factorization.

114252840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24443 (or 24436 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 114252840 is about 10688.9120119870. The cubic root of 114252840 is about 485.2389653869.

The spelling of 114252840 in words is "one hundred fourteen million, two hundred fifty-two thousand, eight hundred forty".