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132776130 = 23553113739
BaseRepresentation
bin1111110101000…
…00000011000010
3100020211201121110
413322200003002
5232442314010
621101504150
73201402264
oct772400302
9306751543
10132776130
1168a48743
1238572056
132167b276
14138c3b34
15b9cb120
hex7ea00c2

132776130 has 64 divisors (see below), whose sum is σ = 327991680. Its totient is φ = 34384896.

The previous prime is 132776129. The next prime is 132776191. The reversal of 132776130 is 31677231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179301 + ... + 180039.

It is an arithmetic number, because the mean of its divisors is an integer number (5124870).

Almost surely, 2132776130 is an apocalyptic number.

132776130 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 132776130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163995840).

132776130 is an abundant number, since it is smaller than the sum of its proper divisors (195215550).

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

132776130 is a wasteful number, since it uses less digits than its factorization.

132776130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915.

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 132776130 is about 11522.8525114227. The cubic root of 132776130 is about 510.1603110028.

The spelling of 132776130 in words is "one hundred thirty-two million, seven hundred seventy-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 113 159 226 265 318 339 530 565 678 739 795 1130 1478 1590 1695 2217 3390 3695 4434 5989 7390 11085 11978 17967 22170 29945 35934 39167 59890 78334 83507 89835 117501 167014 179670 195835 235002 250521 391670 417535 501042 587505 835070 1175010 1252605 2505210 4425871 8851742 13277613 22129355 26555226 44258710 66388065 132776130