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132113430 = 2345211773
BaseRepresentation
bin1111101111111…
…10010000010110
3100012121001120000
413313332100112
5232310112210
621035352130
73162642231
oct767762026
9305531500
10132113430
1168635859
12382b2646
13214a8737
1413790418
15b8e9ac0
hex7dfe416

132113430 has 80 divisors (see below), whose sum is σ = 357383664. Its totient is φ = 35017920.

The previous prime is 132113419. The next prime is 132113447. The reversal of 132113430 is 34311231.

132113430 is a `hidden beast` number, since 1 + 321 + 1 + 343 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170524 + ... + 171296.

Almost surely, 2132113430 is an apocalyptic number.

132113430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132113430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178691832).

132113430 is an abundant number, since it is smaller than the sum of its proper divisors (225270234).

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

132113430 is a wasteful number, since it uses less digits than its factorization.

132113430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132113430 is about 11494.0606401741. The cubic root of 132113430 is about 509.3101399343.

Adding to 132113430 its reverse (34311231), we get a palindrome (166424661).

It can be divided in two parts, 13211 and 3430, that added together give a square (16641 = 1292).

The spelling of 132113430 in words is "one hundred thirty-two million, one hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 211 270 405 422 633 773 810 1055 1266 1546 1899 2110 2319 3165 3798 3865 4638 5697 6330 6957 7730 9495 11394 11595 13914 17091 18990 20871 23190 28485 34182 34785 41742 56970 62613 69570 85455 104355 125226 163103 170910 208710 313065 326206 489309 626130 815515 978618 1467927 1631030 2446545 2935854 4403781 4893090 7339635 8807562 13211343 14679270 22018905 26422686 44037810 66056715 132113430