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132894090 = 23257210943
BaseRepresentation
bin1111110101111…
…00110110001010
3100021001201102100
413322330312022
5233010102330
621104214230
73202403220
oct772746612
9307051370
10132894090
116901932a
123860a376
13216bcb74
1413914b10
15ba01060
hex7ebcd8a

132894090 has 48 divisors (see below), whose sum is σ = 394887168. Its totient is φ = 30375648.

The previous prime is 132894089. The next prime is 132894101. The reversal of 132894090 is 90498231.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104842 + ... + 106101.

It is an arithmetic number, because the mean of its divisors is an integer number (8226816).

Almost surely, 2132894090 is an apocalyptic number.

132894090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132894090 is an abundant number, since it is smaller than the sum of its proper divisors (261993078).

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

132894090 is a wasteful number, since it uses less digits than its factorization.

132894090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210963 (or 210960 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 132894090 is about 11527.9698993361. The cubic root of 132894090 is about 510.3113439180.

The spelling of 132894090 in words is "one hundred thirty-two million, eight hundred ninety-four thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 210943 421886 632829 1054715 1265658 1476601 1898487 2109430 2953202 3164145 3796974 4429803 6328290 7383005 8859606 9492435 13289409 14766010 18984870 22149015 26578818 44298030 66447045 132894090