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132389460 = 223257105071
BaseRepresentation
bin1111110010000…
…01101001010100
3100020010002012100
413321001221110
5232342430320
621045322100
73165202050
oct771015124
9306102170
10132389460
1168804185
1238406330
1321574278
1413822c60
15b951790
hex7e41a54

132389460 has 72 divisors (see below), whose sum is σ = 458954496. Its totient is φ = 30260160.

The previous prime is 132389447. The next prime is 132389483. The reversal of 132389460 is 64983231.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51276 + ... + 53795.

It is an arithmetic number, because the mean of its divisors is an integer number (6374368).

Almost surely, 2132389460 is an apocalyptic number.

132389460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132389460 is an abundant number, since it is smaller than the sum of its proper divisors (326565036).

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

132389460 is a wasteful number, since it uses less digits than its factorization.

132389460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105093 (or 105088 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 132389460 is about 11506.0618805915. The cubic root of 132389460 is about 509.6646006971.

The spelling of 132389460 in words is "one hundred thirty-two million, three hundred eighty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 105071 210142 315213 420284 525355 630426 735497 945639 1050710 1260852 1470994 1576065 1891278 2101420 2206491 2941988 3152130 3677485 3782556 4412982 4728195 6304260 6619473 7354970 8825964 9456390 11032455 13238946 14709940 18912780 22064910 26477892 33097365 44129820 66194730 132389460