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114004240 = 2457203579
BaseRepresentation
bin1101100101110…
…01000100010000
321221112000102021
412302321010100
5213141113430
615151301224
72553006610
oct662710420
9257460367
10114004240
1159397089
123221a814
131a807b3c
14111d8a40
15a01e07a
hex6cb9110

114004240 has 40 divisors (see below), whose sum is σ = 302927040. Its totient is φ = 39086976.

The previous prime is 114004213. The next prime is 114004279. The reversal of 114004240 is 42400411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101230 + ... + 102349.

It is an arithmetic number, because the mean of its divisors is an integer number (7573176).

Almost surely, 2114004240 is an apocalyptic number.

114004240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114004240 is an abundant number, since it is smaller than the sum of its proper divisors (188922800).

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

114004240 is a wasteful number, since it uses less digits than its factorization.

114004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203599 (or 203593 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 114004240 is about 10677.2768063772. The cubic root of 114004240 is about 484.8867698966.

Adding to 114004240 its reverse (42400411), we get a palindrome (156404651).

It can be divided in two parts, 114004 and 240, that added together give a square (114244 = 3382).

The spelling of 114004240 in words is "one hundred fourteen million, four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 203579 407158 814316 1017895 1425053 1628632 2035790 2850106 3257264 4071580 5700212 7125265 8143160 11400424 14250530 16286320 22800848 28501060 57002120 114004240