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132140760 = 233510310691
BaseRepresentation
bin1111110000001…
…00111011011000
3100012122110001020
413320010323120
5232312001020
621040122440
73163115013
oct770047330
9305573036
10132140760
1168654344
1238306420
13214b7ccb
141379a37a
15b902c40
hex7e04ed8

132140760 has 64 divisors (see below), whose sum is σ = 400308480. Its totient is φ = 34892160.

The previous prime is 132140759. The next prime is 132140783. The reversal of 132140760 is 67041231.

It is a super-2 number, since 2×1321407602 = 34922360906755200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132140760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7015 + ... + 17705.

It is an arithmetic number, because the mean of its divisors is an integer number (6254820).

Almost surely, 2132140760 is an apocalyptic number.

132140760 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 132140760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200154240).

132140760 is an abundant number, since it is smaller than the sum of its proper divisors (268167720).

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

132140760 is a wasteful number, since it uses less digits than its factorization.

132140760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10808 (or 10804 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 132140760 is about 11495.2494535786. The cubic root of 132140760 is about 509.3452574501.

Adding to 132140760 its reverse (67041231), we get a palindrome (199181991).

The spelling of 132140760 in words is "one hundred thirty-two million, one hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 10691 12360 21382 32073 42764 53455 64146 85528 106910 128292 160365 213820 256584 320730 427640 641460 1101173 1282920 2202346 3303519 4404692 5505865 6607038 8809384 11011730 13214076 16517595 22023460 26428152 33035190 44046920 66070380 132140760