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132230120 = 235111915817
BaseRepresentation
bin1111110000110…
…10101111101000
3100012210222121212
413320122233220
5232322330440
621042052252
73163636361
oct770325750
9305728555
10132230120
11687054a0
123834a088
1321519899
14137c0b68
15b91e465
hex7e1abe8

132230120 has 64 divisors (see below), whose sum is σ = 341668800. Its totient is φ = 45550080.

The previous prime is 132230089. The next prime is 132230123. The reversal of 132230120 is 21032231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132230095 and 132230104.

It is not an unprimeable number, because it can be changed into a prime (132230123) 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, 452 + ... + 16268.

It is an arithmetic number, because the mean of its divisors is an integer number (5338575).

Almost surely, 2132230120 is an apocalyptic number.

132230120 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 132230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170834400).

132230120 is an abundant number, since it is smaller than the sum of its proper divisors (209438680).

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

132230120 is a wasteful number, since it uses less digits than its factorization.

132230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15858 (or 15854 counting only the distinct ones).

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

The square root of 132230120 is about 11499.1356196890. The cubic root of 132230120 is about 509.4600462461.

Adding to 132230120 its reverse (21032231), we get a palindrome (153262351).

The spelling of 132230120 in words is "one hundred thirty-two million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 15817 31634 63268 79085 126536 158170 173987 300523 316340 347974 601046 632680 695948 869935 1202092 1391896 1502615 1739870 2404184 3005230 3305753 3479740 6010460 6611506 6959480 12020920 13223012 16528765 26446024 33057530 66115060 132230120