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132370 = 2573161
BaseRepresentation
bin100000010100010010
320201120121
4200110102
513213440
62500454
71060630
oct402422
9221517
10132370
11904a7
126472a
1348334
1436350
152934a
hex20512

132370 has 32 divisors (see below), whose sum is σ = 285696. Its totient is φ = 43200.

The previous prime is 132367. The next prime is 132371. The reversal of 132370 is 73231.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132370.

It is not an unprimeable number, because it can be changed into a prime (132371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2140 + ... + 2200.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2132370 is an apocalyptic number.

132370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132370 is an abundant number, since it is smaller than the sum of its proper divisors (153326).

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

132370 is a wasteful number, since it uses less digits than its factorization.

132370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 132370 is about 363.8268819095. The cubic root of 132370 is about 50.9639627513.

Adding to 132370 its product of nonzero digits (126), we get a square (132496 = 3642).

The spelling of 132370 in words is "one hundred thirty-two thousand, three hundred seventy".

Divisors: 1 2 5 7 10 14 31 35 61 62 70 122 155 217 305 310 427 434 610 854 1085 1891 2135 2170 3782 4270 9455 13237 18910 26474 66185 132370