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132376420 = 225112192879
BaseRepresentation
bin1111110001111…
…10011101100100
3100020002102022101
413320332131210
5232342021140
621045141444
73165116041
oct770763544
9306072271
10132376420
11687a5400
12383ba884
132156b357
141381c1c8
15b94c99a
hex7e3e764

132376420 has 72 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 45587520.

The previous prime is 132376373. The next prime is 132376421. The reversal of 132376420 is 24673231.

It is not an unprimeable number, because it can be changed into a prime (132376421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44541 + ... + 47419.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 2132376420 is an apocalyptic number.

132376420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132376420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

132376420 is an abundant number, since it is smaller than the sum of its proper divisors (189377180).

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

132376420 is a wasteful number, since it uses less digits than its factorization.

132376420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 132376420 is about 11505.4952088122. The cubic root of 132376420 is about 509.6478666242.

The spelling of 132376420 in words is "one hundred thirty-two million, three hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 380 418 484 605 836 1045 1210 2090 2299 2420 2879 4180 4598 5758 9196 11495 11516 14395 22990 28790 31669 45980 54701 57580 63338 109402 126676 158345 218804 273505 316690 348359 547010 601711 633380 696718 1094020 1203422 1393436 1741795 2406844 3008555 3483590 6017110 6618821 6967180 12034220 13237642 26475284 33094105 66188210 132376420