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132458040 = 2332511133183
BaseRepresentation
bin1111110010100…
…10011000111000
3100020020120021100
413321102120320
5232402124130
621051011400
73165606021
oct771223070
9306216240
10132458040
1168850760
1238439b60
1321599550
141383dc48
15b966c60
hex7e52638

132458040 has 384 divisors, whose sum is σ = 528353280. Its totient is φ = 28339200.

The previous prime is 132457981. The next prime is 132458041. The reversal of 132458040 is 40854231.

It is a junction number, because it is equal to n+sod(n) for n = 132457995 and 132458013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132458041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1595839 + ... + 1595921.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2132458040 is an apocalyptic number.

132458040 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 132458040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

132458040 is an abundant number, since it is smaller than the sum of its proper divisors (395895240).

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

132458040 is a wasteful number, since it uses less digits than its factorization.

132458040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132458040 is about 11509.0416629709. The cubic root of 132458040 is about 509.7525904929.

The spelling of 132458040 in words is "one hundred thirty-two million, four hundred fifty-eight thousand, forty".