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133882540 = 225112326459
BaseRepresentation
bin1111111101011…
…10001010101100
3100022220221022121
413332232022230
5233233220130
621141322324
73213661051
oct776561254
9308827277
10133882540
1169633a30
1238a063a4
1321977a4c
1413ad1028
15bb48d7a
hex7fae2ac

133882540 has 48 divisors (see below), whose sum is σ = 320060160. Its totient is φ = 46566080.

The previous prime is 133882537. The next prime is 133882543. The reversal of 133882540 is 45288331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133882537) and next prime (133882543).

It is a junction number, because it is equal to n+sod(n) for n = 133882496 and 133882505.

It is not an unprimeable number, because it can be changed into a prime (133882543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8170 + ... + 18289.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2133882540 is an apocalyptic number.

133882540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133882540 is an abundant number, since it is smaller than the sum of its proper divisors (186177620).

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

133882540 is a wasteful number, since it uses less digits than its factorization.

133882540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26502 (or 26500 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 133882540 is about 11570.7622912235. The cubic root of 133882540 is about 511.5734311238.

The spelling of 133882540 in words is "one hundred thirty-three million, eight hundred eighty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 26459 52918 105836 132295 264590 291049 529180 582098 608557 1164196 1217114 1455245 2434228 2910490 3042785 5820980 6085570 6694127 12171140 13388254 26776508 33470635 66941270 133882540