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132296472 = 23327311487
BaseRepresentation
bin1111110001010…
…10111100011000
3100012221100122100
413320222330120
5232331441342
621043323400
73164334000
oct770527430
9305840570
10132296472
1168750330
1238380560
1321540b49
14137db000
15b933e4c
hex7e2af18

132296472 has 192 divisors, whose sum is σ = 456768000. Its totient is φ = 34292160.

The previous prime is 132296471. The next prime is 132296491. The reversal of 132296472 is 274692231.

132296472 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 9 + 647 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132296471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271413 + ... + 271899.

It is an arithmetic number, because the mean of its divisors is an integer number (2379000).

Almost surely, 2132296472 is an apocalyptic number.

132296472 is a gapful number since it is divisible by the number (12) 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 132296472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228384000).

132296472 is an abundant number, since it is smaller than the sum of its proper divisors (324471528).

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

132296472 is a wasteful number, since it uses less digits than its factorization.

132296472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 510 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 132296472 is about 11502.0203442700. The cubic root of 132296472 is about 509.5452463009.

It can be divided in two parts, 13229 and 6472, that added together give a triangular number (19701 = T198).

The spelling of 132296472 in words is "one hundred thirty-two million, two hundred ninety-six thousand, four hundred seventy-two".