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132312120 = 23355711931
BaseRepresentation
bin1111110001011…
…10110000111000
3100012222011002220
413320232300320
5232332441440
621043524040
73164430423
oct770566070
9305864086
10132312120
1168761066
1238389620
1321547cc5
14138029ba
15b9388d0
hex7e2ec38

132312120 has 64 divisors (see below), whose sum is σ = 397837440. Its totient is φ = 35203200.

The previous prime is 132312109. The next prime is 132312127. The reversal of 132312120 is 21213231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132312120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132312127) 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, 67555 + ... + 69485.

It is an arithmetic number, because the mean of its divisors is an integer number (6216210).

Almost surely, 2132312120 is an apocalyptic number.

132312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132312120 is an abundant number, since it is smaller than the sum of its proper divisors (265525320).

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

132312120 is a wasteful number, since it uses less digits than its factorization.

132312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132312120 is about 11502.7005524790. The cubic root of 132312120 is about 509.5653351452.

Adding to 132312120 its reverse (21213231), we get a palindrome (153525351).

It can be divided in two parts, 13231 and 2120, that added together give a palindrome (15351).

The spelling of 132312120 in words is "one hundred thirty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 571 1142 1713 1931 2284 2855 3426 3862 4568 5710 5793 6852 7724 8565 9655 11420 11586 13704 15448 17130 19310 22840 23172 28965 34260 38620 46344 57930 68520 77240 115860 231720 1102601 2205202 3307803 4410404 5513005 6615606 8820808 11026010 13231212 16539015 22052020 26462424 33078030 44104040 66156060 132312120