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132461420 = 22571373997
BaseRepresentation
bin1111110010100…
…11001101101100
3100020020201220112
413321103031230
5232402231140
621051035152
73165621620
oct771231554
9306221815
10132461420
1168853253
123843bab8
132159ac50
1413841180
15b967c65
hex7e5336c

132461420 has 96 divisors (see below), whose sum is σ = 347399808. Its totient is φ = 41306112.

The previous prime is 132461387. The next prime is 132461437. The reversal of 132461420 is 24164231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132362 + ... + 133358.

It is an arithmetic number, because the mean of its divisors is an integer number (3618748).

Almost surely, 2132461420 is an apocalyptic number.

132461420 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 132461420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173699904).

132461420 is an abundant number, since it is smaller than the sum of its proper divisors (214938388).

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

132461420 is a wasteful number, since it uses less digits than its factorization.

132461420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 132461420 is about 11509.1885031048. The cubic root of 132461420 is about 509.7569263291.

The spelling of 132461420 in words is "one hundred thirty-two million, four hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 73 91 130 140 146 182 260 292 364 365 455 511 730 910 949 997 1022 1460 1820 1898 1994 2044 2555 3796 3988 4745 4985 5110 6643 6979 9490 9970 10220 12961 13286 13958 18980 19940 25922 26572 27916 33215 34895 51844 64805 66430 69790 72781 90727 129610 132860 139580 145562 181454 259220 291124 362908 363905 453635 509467 727810 907270 946153 1018934 1455620 1814540 1892306 2037868 2547335 3784612 4730765 5094670 6623071 9461530 10189340 13246142 18923060 26492284 33115355 66230710 132461420