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132199488 = 2632283811
BaseRepresentation
bin1111110000100…
…11010001000000
3100012202102121100
413320103101000
5232320340423
621041254400
73163451151
oct770232100
9305672540
10132199488
1168694483
1238334400
1321508965
14137b3928
15b915343
hex7e13440

132199488 has 84 divisors (see below), whose sum is σ = 380733808. Its totient is φ = 43856640.

The previous prime is 132199477. The next prime is 132199489. The reversal of 132199488 is 884991231.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132199489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162603 + ... + 163413.

Almost surely, 2132199488 is an apocalyptic number.

132199488 is a gapful number since it is divisible by the number (18) 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 132199488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190366904).

132199488 is an abundant number, since it is smaller than the sum of its proper divisors (248534320).

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

132199488 is a wasteful number, since it uses less digits than its factorization.

132199488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1099 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 132199488 is about 11497.8036163434. The cubic root of 132199488 is about 509.4207032549.

The spelling of 132199488 in words is "one hundred thirty-two million, one hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 283 288 566 576 811 849 1132 1622 1698 2264 2433 2547 3244 3396 4528 4866 5094 6488 6792 7299 9056 9732 10188 12976 13584 14598 18112 19464 20376 25952 27168 29196 38928 40752 51904 54336 58392 77856 81504 116784 155712 163008 229513 233568 459026 467136 688539 918052 1377078 1836104 2065617 2754156 3672208 4131234 5508312 7344416 8262468 11016624 14688832 16524936 22033248 33049872 44066496 66099744 132199488