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133264880 = 2457237973
BaseRepresentation
bin1111111000101…
…11010111110000
3100021202120001022
413330113113300
5233103434010
621120155012
73205506230
oct774272760
9307676038
10133264880
1169251971
1238768a68
13217bc878
14139adcc0
15ba75d55
hex7f175f0

133264880 has 40 divisors (see below), whose sum is σ = 354105312. Its totient is φ = 45690624.

The previous prime is 133264867. The next prime is 133264891. The reversal of 133264880 is 88462331.

It is a happy number.

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

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 133264880.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 118427 + ... + 119546.

Almost surely, 2133264880 is an apocalyptic number.

133264880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133264880 is an abundant number, since it is smaller than the sum of its proper divisors (220840432).

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

133264880 is a wasteful number, since it uses less digits than its factorization.

133264880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237993 (or 237987 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 133264880 is about 11544.0408869685. The cubic root of 133264880 is about 510.7855125713.

The spelling of 133264880 in words is "one hundred thirty-three million, two hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 237973 475946 951892 1189865 1665811 1903784 2379730 3331622 3807568 4759460 6663244 8329055 9518920 13326488 16658110 19037840 26652976 33316220 66632440 133264880