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114975 = 3252773
BaseRepresentation
bin11100000100011111
312211201100
4130010133
512134400
62244143
7656130
oct340437
9184640
10114975
1179423
1256653
1340443
142dc87
1524100
hex1c11f

114975 has 36 divisors (see below), whose sum is σ = 238576. Its totient is φ = 51840.

The previous prime is 114973. The next prime is 114997. The reversal of 114975 is 579411.

It is not a de Polignac number, because 114975 - 21 = 114973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114975.

It is not an unprimeable number, because it can be changed into a prime (114973) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1539 + ... + 1611.

2114975 is an apocalyptic number.

114975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114975 is an abundant number, since it is smaller than the sum of its proper divisors (123601).

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

114975 is a wasteful number, since it uses less digits than its factorization.

114975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 114975 is about 339.0796366637. The cubic root of 114975 is about 48.6259171830.

It can be divided in two parts, 114 and 975, that added together give a square (1089 = 332).

The spelling of 114975 in words is "one hundred fourteen thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 73 75 105 175 219 225 315 365 511 525 657 1095 1533 1575 1825 2555 3285 4599 5475 7665 12775 16425 22995 38325 114975