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132442240 = 2757173747
BaseRepresentation
bin1111110010011…
…10100010000000
3100020012202121011
413321032202000
5232401122430
621050410304
73165511660
oct771164200
9306182534
10132442240
116883a8a7
1238430994
13215922b8
14138381a0
15b96222a
hex7e4e880

132442240 has 256 divisors, whose sum is σ = 401863680. Its totient is φ = 40697856.

The previous prime is 132442237. The next prime is 132442243. The reversal of 132442240 is 42244231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132442237) and next prime (132442243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132442243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2817897 + ... + 2817943.

It is an arithmetic number, because the mean of its divisors is an integer number (1569780).

Almost surely, 2132442240 is an apocalyptic number.

132442240 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 132442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200931840).

132442240 is an abundant number, since it is smaller than the sum of its proper divisors (269421440).

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

132442240 is a wasteful number, since it uses less digits than its factorization.

132442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 132442240 is about 11508.3552256611. The cubic root of 132442240 is about 509.7323214044.

Adding to 132442240 its reverse (42244231), we get a palindrome (174686471).

The spelling of 132442240 in words is "one hundred thirty-two million, four hundred forty-two thousand, two hundred forty".