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132153320 = 23513254141
BaseRepresentation
bin1111110000001…
…11111111101000
3100012200002021102
413320013333220
5232312401240
621040300532
73163166435
oct770077750
9305602242
10132153320
1168662822
1238311748
13214c0940
14137a0b8c
15b906815
hex7e07fe8

132153320 has 32 divisors (see below), whose sum is σ = 320218920. Its totient is φ = 48794880.

The previous prime is 132153311. The next prime is 132153353. The reversal of 132153320 is 23351231.

It can be written as a sum of positive squares in 4 ways, for example, as 70593604 + 61559716 = 8402^2 + 7846^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132153292 and 132153301.

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 7 ways as a sum of consecutive naturals, for example, 126551 + ... + 127590.

Almost surely, 2132153320 is an apocalyptic number.

132153320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132153320 is an abundant number, since it is smaller than the sum of its proper divisors (188065600).

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

132153320 is a wasteful number, since it uses less digits than its factorization.

132153320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254165 (or 254161 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 132153320 is about 11495.7957532308. The cubic root of 132153320 is about 509.3613947211.

The spelling of 132153320 in words is "one hundred thirty-two million, one hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 254141 508282 1016564 1270705 2033128 2541410 3303833 5082820 6607666 10165640 13215332 16519165 26430664 33038330 66076660 132153320