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132133040 = 24513127051
BaseRepresentation
bin1111110000000…
…11000010110000
3100012122001110022
413320003002300
5232311224130
621040023012
73163053344
oct770030260
9305561408
10132133040
1168649566
1238301a68
13214b4640
1413797624
15b9007e5
hex7e030b0

132133040 has 40 divisors (see below), whose sum is σ = 330843408. Its totient is φ = 48787200.

The previous prime is 132133039. The next prime is 132133093. The reversal of 132133040 is 40331231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 62486 + ... + 64565.

Almost surely, 2132133040 is an apocalyptic number.

132133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132133040 is an abundant number, since it is smaller than the sum of its proper divisors (198710368).

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

132133040 is a wasteful number, since it uses less digits than its factorization.

132133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127077 (or 127071 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 132133040 is about 11494.9136577880. The cubic root of 132133040 is about 509.3353381742.

Adding to 132133040 its reverse (40331231), we get a palindrome (172464271).

The spelling of 132133040 in words is "one hundred thirty-two million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 127051 254102 508204 635255 1016408 1270510 1651663 2032816 2541020 3303326 5082040 6606652 8258315 10164080 13213304 16516630 26426608 33033260 66066520 132133040