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132003190 = 25114129269
BaseRepresentation
bin1111101111000…
…11010101110110
3100012101110100001
413313203111312
5232243100230
621033141514
73162002644
oct767432566
9305343301
10132003190
116856aa50
123825a89a
132146a4c7
1413762194
15b8c70ca
hex7de3576

132003190 has 32 divisors (see below), whose sum is σ = 265537440. Its totient is φ = 46828800.

The previous prime is 132003173. The next prime is 132003191. The reversal of 132003190 is 91300231.

It is a super-2 number, since 2×1320031902 = 34849684340352200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132003191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10125 + ... + 19144.

It is an arithmetic number, because the mean of its divisors is an integer number (8298045).

Almost surely, 2132003190 is an apocalyptic number.

132003190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132003190 is an abundant number, since it is smaller than the sum of its proper divisors (133534250).

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

132003190 is a wasteful number, since it uses less digits than its factorization.

132003190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29328.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 132003190 is about 11489.2641191679. The cubic root of 132003190 is about 509.1684385345.

The spelling of 132003190 in words is "one hundred thirty-two million, three thousand, one hundred ninety".

Divisors: 1 2 5 10 11 22 41 55 82 110 205 410 451 902 2255 4510 29269 58538 146345 292690 321959 643918 1200029 1609795 2400058 3219590 6000145 12000290 13200319 26400638 66001595 132003190