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132214120 = 23523143711
BaseRepresentation
bin1111110000101…
…10110101101000
3100012210011200021
413320112311220
5232321322440
621041450224
73163541623
oct770266550
9305704607
10132214120
11686a4475
1238340974
132151250c
14137b8dba
15b91984a
hex7e16d68

132214120 has 32 divisors (see below), whose sum is σ = 310417920. Its totient is φ = 50585920.

The previous prime is 132214109. The next prime is 132214123. The reversal of 132214120 is 21412231.

It is a junction number, because it is equal to n+sod(n) for n = 132214094 and 132214103.

It is not an unprimeable number, because it can be changed into a prime (132214123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70936 + ... + 72775.

It is an arithmetic number, because the mean of its divisors is an integer number (9700560).

Almost surely, 2132214120 is an apocalyptic number.

132214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132214120 is an abundant number, since it is smaller than the sum of its proper divisors (178203800).

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

132214120 is a wasteful number, since it uses less digits than its factorization.

132214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143745 (or 143741 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 132214120 is about 11498.4398941769. The cubic root of 132214120 is about 509.4394969957.

Adding to 132214120 its reverse (21412231), we get a palindrome (153626351).

The spelling of 132214120 in words is "one hundred thirty-two million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 143711 287422 574844 718555 1149688 1437110 2874220 3305353 5748440 6610706 13221412 16526765 26442824 33053530 66107060 132214120