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114002040 = 23357731229
BaseRepresentation
bin1101100101110…
…00100001111000
321221111220101210
412302320201320
5213141031130
615151243120
72553000315
oct662704170
9257456353
10114002040
1159395469
12322194a0
131a806b39
14111d7d0c
15a01d5b0
hex6cb8878

114002040 has 64 divisors (see below), whose sum is σ = 342727200. Its totient is φ = 30336512.

The previous prime is 114002011. The next prime is 114002059. The reversal of 114002040 is 40200411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 92146 + ... + 93374.

Almost surely, 2114002040 is an apocalyptic number.

114002040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114002040 is an abundant number, since it is smaller than the sum of its proper divisors (228725160).

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

114002040 is a wasteful number, since it uses less digits than its factorization.

114002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 114002040 is about 10677.1737833567. The cubic root of 114002040 is about 484.8836508379.

Adding to 114002040 its reverse (40200411), we get a palindrome (154202451).

The spelling of 114002040 in words is "one hundred fourteen million, two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 773 1229 1546 2319 2458 3092 3687 3865 4638 4916 6145 6184 7374 7730 9276 9832 11595 12290 14748 15460 18435 18552 23190 24580 29496 30920 36870 46380 49160 73740 92760 147480 950017 1900034 2850051 3800068 4750085 5700102 7600136 9500170 11400204 14250255 19000340 22800408 28500510 38000680 57001020 114002040