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132570 = 2335491
BaseRepresentation
bin100000010111011010
320201212000
4200113122
513220240
62501430
71061334
oct402732
9221760
10132570
1190669
1264876
1348459
1436454
1529430
hex205da

132570 has 32 divisors (see below), whose sum is σ = 354240. Its totient is φ = 35280.

The previous prime is 132547. The next prime is 132589. The reversal of 132570 is 75231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132570.

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, 25 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (11070).

2132570 is an apocalyptic number.

132570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177120).

132570 is an abundant number, since it is smaller than the sum of its proper divisors (221670).

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

132570 is a wasteful number, since it uses less digits than its factorization.

132570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 132570 is about 364.1016341628. The cubic root of 132570 is about 50.9896172636.

The spelling of 132570 in words is "one hundred thirty-two thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 491 982 1473 2455 2946 4419 4910 7365 8838 13257 14730 22095 26514 44190 66285 132570