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132131020 = 2257832137
BaseRepresentation
bin1111110000000…
…10100011001100
3100012121221200111
413320002203030
5232311143040
621040005404
73163044430
oct770024314
9305557614
10132131020
1168647a9a
1238300864
13214b3748
14137969c0
15b8eedea
hex7e028cc

132131020 has 72 divisors (see below), whose sum is σ = 323324064. Its totient is φ = 44429568.

The previous prime is 132131011. The next prime is 132131059. The reversal of 132131020 is 20131231.

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, 964392 + ... + 964528.

It is an arithmetic number, because the mean of its divisors is an integer number (4490612).

Almost surely, 2132131020 is an apocalyptic number.

132131020 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 132131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161662032).

132131020 is an abundant number, since it is smaller than the sum of its proper divisors (191193044).

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

132131020 is a wasteful number, since it uses less digits than its factorization.

132131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 132131020 is about 11494.8257925033. The cubic root of 132131020 is about 509.3327426523.

Adding to 132131020 its reverse (20131231), we get a palindrome (152262251).

The spelling of 132131020 in words is "one hundred thirty-two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 137 140 166 274 332 415 548 581 685 830 959 1162 1370 1660 1918 2324 2740 2905 3836 4795 5810 6889 9590 11371 11620 13778 19180 22742 27556 34445 45484 48223 56855 68890 79597 96446 113710 137780 159194 192892 227420 241115 318388 397985 482230 795970 943793 964460 1591940 1887586 3775172 4718965 6606551 9437930 13213102 18875860 26426204 33032755 66065510 132131020