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114233040 = 24325158657
BaseRepresentation
bin1101100111100…
…00111011010000
321221221122021100
412303300323100
5213220424130
615200224400
72554651635
oct663607320
9257848240
10114233040
1159532a79
123230b100
131a88801c
141125818c
15a066c60
hex6cf0ed0

114233040 has 60 divisors (see below), whose sum is σ = 383635044. Its totient is φ = 30461952.

The previous prime is 114233039. The next prime is 114233051. The reversal of 114233040 is 40332411.

It can be written as a sum of positive squares in 2 ways, for example, as 71774784 + 42458256 = 8472^2 + 6516^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78609 + ... + 80048.

Almost surely, 2114233040 is an apocalyptic number.

114233040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114233040 is an abundant number, since it is smaller than the sum of its proper divisors (269402004).

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

114233040 is a wasteful number, since it uses less digits than its factorization.

114233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158676 (or 158667 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 114233040 is about 10687.9857784337. The cubic root of 114233040 is about 485.2109331542.

Adding to 114233040 its reverse (40332411), we get a palindrome (154565451).

The spelling of 114233040 in words is "one hundred fourteen million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 158657 317314 475971 634628 793285 951942 1269256 1427913 1586570 1903884 2379855 2538512 2855826 3173140 3807768 4759710 5711652 6346280 7139565 7615536 9519420 11423304 12692560 14279130 19038840 22846608 28558260 38077680 57116520 114233040