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132606240 = 25351379269
BaseRepresentation
bin1111110011101…
…10100100100000
3100020112002120020
413321312210200
5232421344430
621054113440
73200064054
oct771664440
9306462506
10132606240
1168942038
12384ab880
132161bb40
141387bc64
15b995b10
hex7e76920

132606240 has 192 divisors, whose sum is σ = 457228800. Its totient is φ = 32108544.

The previous prime is 132606209. The next prime is 132606269. The reversal of 132606240 is 42606231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132606240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492826 + ... + 493094.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2132606240 is an apocalyptic number.

132606240 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 132606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

132606240 is an abundant number, since it is smaller than the sum of its proper divisors (324622560).

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

132606240 is a wasteful number, since it uses less digits than its factorization.

132606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 132606240 is about 11515.4782792553. The cubic root of 132606240 is about 509.9426309940.

Subtracting from 132606240 its reverse (42606231), we obtain a palindrome (90000009).

The spelling of 132606240 in words is "one hundred thirty-two million, six hundred six thousand, two hundred forty".