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132792030 = 23257415397
BaseRepresentation
bin1111110101000…
…11111011011110
3100020212112102100
413322203323132
5232443321110
621102105530
73201466530
oct772437336
9306775370
10132792030
1168a59688
123857b2a6
1321685587
14138c9850
15b9d0bc0
hex7ea3ede

132792030 has 192 divisors, whose sum is σ = 416078208. Its totient is φ = 28753920.

The previous prime is 132791993. The next prime is 132792031. The reversal of 132792030 is 30297231.

It is a junction number, because it is equal to n+sod(n) for n = 132791985 and 132792003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132792031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1368942 + ... + 1369038.

It is an arithmetic number, because the mean of its divisors is an integer number (2167074).

Almost surely, 2132792030 is an apocalyptic number.

132792030 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 132792030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208039104).

132792030 is an abundant number, since it is smaller than the sum of its proper divisors (283286178).

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

132792030 is a wasteful number, since it uses less digits than its factorization.

132792030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 132792030 is about 11523.5424240986. The cubic root of 132792030 is about 510.1806741639.

The spelling of 132792030 in words is "one hundred thirty-two million, seven hundred ninety-two thousand, thirty".