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132378246 = 233711133179
BaseRepresentation
bin1111110001111…
…10111010000110
3100020002111211000
413320332322012
5232342100441
621045154130
73165124260
oct770767206
9306074730
10132378246
11687a6810
12383bb946
132156c130
141381cb30
15b94d2b6
hex7e3ee86

132378246 has 256 divisors, whose sum is σ = 412876800. Its totient is φ = 30326400.

The previous prime is 132378229. The next prime is 132378247. The reversal of 132378246 is 642873231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132378246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132378247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1675635 + ... + 1675713.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 2132378246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132378246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206438400).

132378246 is an abundant number, since it is smaller than the sum of its proper divisors (280498554).

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

132378246 is a wasteful number, since it uses less digits than its factorization.

132378246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 132378246 is about 11505.5745619243. The cubic root of 132378246 is about 509.6502099739.

The spelling of 132378246 in words is "one hundred thirty-two million, three hundred seventy-eight thousand, two hundred forty-six".