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132310220 = 22576115493
BaseRepresentation
bin1111110001011…
…10010011001100
3100012222001111112
413320232103030
5232332411340
621043511152
73164422040
oct770562314
9305861445
10132310220
116875a699
12383884b8
1321547193
1413802020
15b938065
hex7e2e4cc

132310220 has 48 divisors (see below), whose sum is σ = 322771008. Its totient is φ = 44616960.

The previous prime is 132310219. The next prime is 132310247. The reversal of 132310220 is 22013231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 132310195 and 132310204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794 + ... + 16286.

It is an arithmetic number, because the mean of its divisors is an integer number (6724396).

Almost surely, 2132310220 is an apocalyptic number.

132310220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161385504).

132310220 is an abundant number, since it is smaller than the sum of its proper divisors (190460788).

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

132310220 is a wasteful number, since it uses less digits than its factorization.

132310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15570 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132310220 is about 11502.6179628813. The cubic root of 132310220 is about 509.5628960168.

Adding to 132310220 its reverse (22013231), we get a palindrome (154323451).

The spelling of 132310220 in words is "one hundred thirty-two million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 15493 30986 61972 77465 108451 154930 216902 309860 433804 542255 945073 1084510 1890146 2169020 3780292 4725365 6615511 9450730 13231022 18901460 26462044 33077555 66155110 132310220