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114444640 = 2554211699
BaseRepresentation
bin1101101001001…
…00100101100000
321222100101112101
412310210211200
5213244212030
615204540144
72556522562
oct664444540
9258311471
10114444640
1159667a52
12323b1654
131a93042b
14112b1332
15a0a97ca
hex6d24960

114444640 has 48 divisors (see below), whose sum is σ = 271177200. Its totient is φ = 45642240.

The previous prime is 114444623. The next prime is 114444641. The reversal of 114444640 is 46444411.

It is a junction number, because it is equal to n+sod(n) for n = 114444599 and 114444608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114444641) by changing a digit.

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, 66511 + ... + 68209.

It is an arithmetic number, because the mean of its divisors is an integer number (5649525).

Almost surely, 2114444640 is an apocalyptic number.

114444640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114444640 is an abundant number, since it is smaller than the sum of its proper divisors (156732560).

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

114444640 is a wasteful number, since it uses less digits than its factorization.

114444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 114444640 is about 10697.8801638455. The cubic root of 114444640 is about 485.5103424568.

The spelling of 114444640 in words is "one hundred fourteen million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 421 842 1684 1699 2105 3368 3398 4210 6736 6796 8420 8495 13472 13592 16840 16990 27184 33680 33980 54368 67360 67960 135920 271840 715279 1430558 2861116 3576395 5722232 7152790 11444464 14305580 22888928 28611160 57222320 114444640