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132996500 = 22537133779
BaseRepresentation
bin1111110110101…
…01110110010100
3100021020220220022
413323111312110
5233021342000
621110324312
73203310620
oct773256624
9307226808
10132996500
116908926a
1238659698
1321727670
1413940180
15ba21585
hex7ed5d94

132996500 has 192 divisors, whose sum is σ = 371804160. Its totient is φ = 40435200.

The previous prime is 132996499. The next prime is 132996529. The reversal of 132996500 is 5699231.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1683461 + ... + 1683539.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 2132996500 is an apocalyptic number.

132996500 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 132996500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185902080).

132996500 is an abundant number, since it is smaller than the sum of its proper divisors (238807660).

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

132996500 is a wasteful number, since it uses less digits than its factorization.

132996500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 132996500 is about 11532.4108494278. The cubic root of 132996500 is about 510.4423945567.

The spelling of 132996500 in words is "one hundred thirty-two million, nine hundred ninety-six thousand, five hundred".