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132273940 = 22517389041
BaseRepresentation
bin1111110001001…
…01011100010100
3100012220012201211
413320211130110
5232330231230
621043031204
73164211211
oct770453424
9305805654
10132273940
1168735407
123836b504
1321533806
14137d2b08
15b92c42a
hex7e25714

132273940 has 24 divisors (see below), whose sum is σ = 294115752. Its totient is φ = 49797120.

The previous prime is 132273937. The next prime is 132273949. The reversal of 132273940 is 49372231.

132273940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54199044 + 78074896 = 7362^2 + 8836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132273949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194181 + ... + 194860.

It is an arithmetic number, because the mean of its divisors is an integer number (12254823).

Almost surely, 2132273940 is an apocalyptic number.

132273940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132273940 is an abundant number, since it is smaller than the sum of its proper divisors (161841812).

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

132273940 is a wasteful number, since it uses less digits than its factorization.

132273940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389067 (or 389065 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 132273940 is about 11501.0408224647. The cubic root of 132273940 is about 509.5163170202.

The spelling of 132273940 in words is "one hundred thirty-two million, two hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 389041 778082 1556164 1945205 3890410 6613697 7780820 13227394 26454788 33068485 66136970 132273940