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36132640 = 255225829
BaseRepresentation
bin1000100111010…
…1011100100000
32111222201122221
42021311130200
533222221030
63330240424
7616056655
oct211653440
974881587
1036132640
1119439a95
1210126114
13764147b
144b27c2c
15328ae7a
hex2275720

36132640 has 24 divisors (see below), whose sum is σ = 85363740. Its totient is φ = 14452992.

The previous prime is 36132617. The next prime is 36132641. The reversal of 36132640 is 4623163.

It can be written as a sum of positive squares in 2 ways, for example, as 35664784 + 467856 = 5972^2 + 684^2 .

It is not an unprimeable number, because it can be changed into a prime (36132641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112755 + ... + 113074.

Almost surely, 236132640 is an apocalyptic number.

It is an amenable number.

36132640 is an abundant number, since it is smaller than the sum of its proper divisors (49231100).

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

36132640 is a wasteful number, since it uses less digits than its factorization.

36132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225844 (or 225836 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 36132640 is about 6011.0431706984. The cubic root of 36132640 is about 330.5977534445.

The spelling of 36132640 in words is "thirty-six million, one hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 225829 451658 903316 1129145 1806632 2258290 3613264 4516580 7226528 9033160 18066320 36132640