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132545790 = 232513113287
BaseRepresentation
bin1111110011001…
…11110011111110
3100020102000122100
413321213303332
5232412431130
621052525530
73166422606
oct771476376
9306360570
10132545790
1168900683
12384808a6
13215ca480
1413863c06
15b982c60
hex7e67cfe

132545790 has 48 divisors (see below), whose sum is σ = 371131488. Its totient is φ = 32626368.

The previous prime is 132545789. The next prime is 132545827. The reversal of 132545790 is 97545231.

132545790 is a `hidden beast` number, since 1 + 32 + 54 + 579 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55474 + ... + 57813.

It is an arithmetic number, because the mean of its divisors is an integer number (7731906).

Almost surely, 2132545790 is an apocalyptic number.

132545790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132545790 is an abundant number, since it is smaller than the sum of its proper divisors (238585698).

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

132545790 is a wasteful number, since it uses less digits than its factorization.

132545790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113313 (or 113310 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 132545790 is about 11512.8532519094. The cubic root of 132545790 is about 509.8651315808.

It can be divided in two parts, 13254 and 5790, that added together give a square (19044 = 1382).

The spelling of 132545790 in words is "one hundred thirty-two million, five hundred forty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 113287 226574 339861 566435 679722 1019583 1132870 1472731 1699305 2039166 2945462 3398610 4418193 5097915 7363655 8836386 10195830 13254579 14727310 22090965 26509158 44181930 66272895 132545790