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132023196 = 22342914051
BaseRepresentation
bin1111101111010…
…00001110011100
3100012102110210000
413313220032130
5232244220241
621033414300
73162115164
oct767501634
9305373700
10132023196
1168583a88
123826a390
1321476646
14137695a4
15b8cceb6
hex7de839c

132023196 has 60 divisors (see below), whose sum is σ = 357061320. Its totient is φ = 42487200.

The previous prime is 132023189. The next prime is 132023233. The reversal of 132023196 is 691320231.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2371 + ... + 16421.

It is an arithmetic number, because the mean of its divisors is an integer number (5951022).

Almost surely, 2132023196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132023196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178530660).

132023196 is an abundant number, since it is smaller than the sum of its proper divisors (225038124).

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

132023196 is a wasteful number, since it uses less digits than its factorization.

132023196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14085 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 132023196 is about 11490.1347250587. The cubic root of 132023196 is about 509.1941599059.

The spelling of 132023196 in words is "one hundred thirty-two million, twenty-three thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 14051 28102 42153 56204 84306 126459 168612 252918 379377 407479 505836 758754 814958 1138131 1222437 1517508 1629916 2276262 2444874 3667311 4552524 4889748 7334622 11001933 14669244 22003866 33005799 44007732 66011598 132023196