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132054420 = 22353170997
BaseRepresentation
bin1111101111011…
…11110110010100
3100012111001121110
413313233312110
5232301220140
621034215020
73162305211
oct767576624
9305431543
10132054420
11685a5493
1238284470
1321487914
1413776b08
15b8d7380
hex7defd94

132054420 has 48 divisors (see below), whose sum is σ = 381685248. Its totient is φ = 34078080.

The previous prime is 132054413. The next prime is 132054421. The reversal of 132054420 is 24450231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132054421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33639 + ... + 37358.

It is an arithmetic number, because the mean of its divisors is an integer number (7951776).

Almost surely, 2132054420 is an apocalyptic number.

132054420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132054420 is an abundant number, since it is smaller than the sum of its proper divisors (249630828).

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

132054420 is a wasteful number, since it uses less digits than its factorization.

132054420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71040 (or 71038 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 132054420 is about 11491.4933755365. The cubic root of 132054420 is about 509.2342988756.

The spelling of 132054420 in words is "one hundred thirty-two million, fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 70997 141994 212991 283988 354985 425982 709970 851964 1064955 1419940 2129910 2200907 4259820 4401814 6602721 8803628 11004535 13205442 22009070 26410884 33013605 44018140 66027210 132054420