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132199350 = 23527312073
BaseRepresentation
bin1111110000100…
…11001110110110
3100012202102102020
413320103032312
5232320334400
621041254010
73163450563
oct770231666
9305672366
10132199350
1168694368
1238334306
132150888a
14137b386a
15b9152a0
hex7e133b6

132199350 has 48 divisors (see below), whose sum is σ = 332373072. Its totient is φ = 34767360.

The previous prime is 132199349. The next prime is 132199363. The reversal of 132199350 is 53991231.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4914 + ... + 16986.

It is an arithmetic number, because the mean of its divisors is an integer number (6924439).

Almost surely, 2132199350 is an apocalyptic number.

132199350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132199350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166186536).

132199350 is an abundant number, since it is smaller than the sum of its proper divisors (200173722).

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

132199350 is a wasteful number, since it uses less digits than its factorization.

132199350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12161 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 132199350 is about 11497.7976151957. The cubic root of 132199350 is about 509.4205259973.

The spelling of 132199350 in words is "one hundred thirty-two million, one hundred ninety-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 146 150 219 365 438 730 1095 1825 2190 3650 5475 10950 12073 24146 36219 60365 72438 120730 181095 301825 362190 603650 881329 905475 1762658 1810950 2643987 4406645 5287974 8813290 13219935 22033225 26439870 44066450 66099675 132199350