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133946540 = 22571373597
BaseRepresentation
bin1111111101111…
…01110010101100
3100100001012002222
413332331302230
5233242242130
621142534512
73214345460
oct776756254
9310035088
10133946540
1169678022
1238a37438
132199ac10
1413b0a4a0
15bb5cce5
hex7fbdcac

133946540 has 48 divisors (see below), whose sum is σ = 346204992. Its totient is φ = 42391296.

The previous prime is 133946539. The next prime is 133946543. The reversal of 133946540 is 45649331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 133946540.

It is not an unprimeable number, because it can be changed into a prime (133946543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34979 + ... + 38618.

It is an arithmetic number, because the mean of its divisors is an integer number (7212604).

Almost surely, 2133946540 is an apocalyptic number.

133946540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133946540 is an abundant number, since it is smaller than the sum of its proper divisors (212258452).

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

133946540 is a wasteful number, since it uses less digits than its factorization.

133946540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73626 (or 73624 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 133946540 is about 11573.5275521338. The cubic root of 133946540 is about 511.6549341187.

The spelling of 133946540 in words is "one hundred thirty-three million, nine hundred forty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 73597 147194 294388 367985 515179 735970 956761 1030358 1471940 1913522 2060716 2575895 3827044 4783805 5151790 6697327 9567610 10303580 13394654 19135220 26789308 33486635 66973270 133946540