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132758900 = 22521399551
BaseRepresentation
bin1111110100110…
…11110101110100
3100020210211222022
413322123311310
5232441241100
621101252312
73201301121
oct772336564
9306724868
10132758900
1168a367aa
1238564098
1321673481
14138bb748
15b9c5e85
hex7e9bd74

132758900 has 36 divisors (see below), whose sum is σ = 290189760. Its totient is φ = 52716000.

The previous prime is 132758869. The next prime is 132758903. The reversal of 132758900 is 9857231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132758903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9125 + ... + 18675.

Almost surely, 2132758900 is an apocalyptic number.

132758900 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 132758900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145094880).

132758900 is an abundant number, since it is smaller than the sum of its proper divisors (157430860).

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

132758900 is a wasteful number, since it uses less digits than its factorization.

132758900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704 (or 9697 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 132758900 is about 11522.1048424322. The cubic root of 132758900 is about 510.1382426727.

The spelling of 132758900 in words is "one hundred thirty-two million, seven hundred fifty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3475 6950 9551 13900 19102 38204 47755 95510 191020 238775 477550 955100 1327589 2655178 5310356 6637945 13275890 26551780 33189725 66379450 132758900