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132801800 = 2352664009
BaseRepresentation
bin1111110101001…
…10010100001000
3100020220000211012
413322212110020
5232444124200
621102223052
73201540155
oct772462410
9306800735
10132801800
1168a65a5a
1238584a88
1321689b61
14138cd22c
15b9d3a35
hex7ea6508

132801800 has 24 divisors (see below), whose sum is σ = 308764650. Its totient is φ = 53120640.

The previous prime is 132801797. The next prime is 132801821. The reversal of 132801800 is 8108231.

It can be written as a sum of positive squares in 3 ways, for example, as 88472836 + 44328964 = 9406^2 + 6658^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 331805 + ... + 332204.

Almost surely, 2132801800 is an apocalyptic number.

132801800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132801800 is an abundant number, since it is smaller than the sum of its proper divisors (175962850).

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

132801800 is a wasteful number, since it uses less digits than its factorization.

132801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664025 (or 664016 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 132801800 is about 11523.9663310858. The cubic root of 132801800 is about 510.1931858157.

The spelling of 132801800 in words is "one hundred thirty-two million, eight hundred one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 664009 1328018 2656036 3320045 5312072 6640090 13280180 16600225 26560360 33200450 66400900 132801800