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132740520 = 233511227443
BaseRepresentation
bin1111110100101…
…11010110101000
3100020202220202120
413322113112220
5232440144040
621101031240
73201163413
oct772272650
9306686676
10132740520
1168a23a10
1238555520
1321667cb3
14138b4b7a
15b9c07d0
hex7e975a8

132740520 has 128 divisors (see below), whose sum is σ = 437322240. Its totient is φ = 31965440.

The previous prime is 132740473. The next prime is 132740551. The reversal of 132740520 is 25047231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 299419 + ... + 299861.

It is an arithmetic number, because the mean of its divisors is an integer number (3416580).

Almost surely, 2132740520 is an apocalyptic number.

132740520 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 132740520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218661120).

132740520 is an abundant number, since it is smaller than the sum of its proper divisors (304581720).

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

132740520 is a wasteful number, since it uses less digits than its factorization.

132740520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 132740520 is about 11521.3072174992. The cubic root of 132740520 is about 510.1146993079.

Adding to 132740520 its reverse (25047231), we get a palindrome (157787751).

The spelling of 132740520 in words is "one hundred thirty-two million, seven hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 227 264 330 440 443 454 660 681 886 908 1135 1320 1329 1362 1772 1816 2215 2270 2497 2658 2724 3405 3544 4430 4540 4873 4994 5316 5448 6645 6810 7491 8860 9080 9746 9988 10632 12485 13290 13620 14619 14982 17720 19492 19976 24365 24970 26580 27240 29238 29964 37455 38984 48730 49940 53160 58476 59928 73095 74910 97460 99880 100561 116952 146190 149820 194920 201122 292380 299640 301683 402244 502805 584760 603366 804488 1005610 1106171 1206732 1508415 2011220 2212342 2413464 3016830 3318513 4022440 4424684 5530855 6033660 6637026 8849368 11061710 12067320 13274052 16592565 22123420 26548104 33185130 44246840 66370260 132740520