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132805240 = 23531107101
BaseRepresentation
bin1111110101001…
…11001001111000
3100020220012112121
413322213021320
5232444231430
621102251024
73201553201
oct772471170
9306805477
10132805240
1168a685a7
1238586a74
132168b5a9
14138d05a8
15b9d4a7a
hex7ea7278

132805240 has 32 divisors (see below), whose sum is σ = 308453760. Its totient is φ = 51408000.

The previous prime is 132805223. The next prime is 132805259. The reversal of 132805240 is 42508231.

132805240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52311 + ... + 54790.

It is an arithmetic number, because the mean of its divisors is an integer number (9639180).

Almost surely, 2132805240 is an apocalyptic number.

132805240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132805240 is an abundant number, since it is smaller than the sum of its proper divisors (175648520).

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

132805240 is a wasteful number, since it uses less digits than its factorization.

132805240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107143 (or 107139 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 132805240 is about 11524.1155842867. The cubic root of 132805240 is about 510.1975910005.

The spelling of 132805240 in words is "one hundred thirty-two million, eight hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 107101 214202 428404 535505 856808 1071010 2142020 3320131 4284040 6640262 13280524 16600655 26561048 33201310 66402620 132805240