Search a number
-
+
114331520 = 275178643
BaseRepresentation
bin1101101000010…
…00111110000000
321222010122100202
412310020332000
5213232102040
615202304332
72555542022
oct664107600
9258118322
10114331520
115959aa66
12323580a8
131a8c0ab4
1411282012
15a086015
hex6d08f80

114331520 has 32 divisors (see below), whose sum is σ = 273325320. Its totient is φ = 45732352.

The previous prime is 114331519. The next prime is 114331523. The reversal of 114331520 is 25133411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114331492 and 114331501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114331523) 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 3 ways as a sum of consecutive naturals, for example, 88682 + ... + 89961.

Almost surely, 2114331520 is an apocalyptic number.

114331520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114331520 is an abundant number, since it is smaller than the sum of its proper divisors (158993800).

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

114331520 is an equidigital number, since it uses as much as digits as its factorization.

114331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178662 (or 178650 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 114331520 is about 10692.5918279901. The cubic root of 114331520 is about 485.3503261235.

Adding to 114331520 its reverse (25133411), we get a palindrome (139464931).

The spelling of 114331520 in words is "one hundred fourteen million, three hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 178643 357286 714572 893215 1429144 1786430 2858288 3572860 5716576 7145720 11433152 14291440 22866304 28582880 57165760 114331520