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133297440 = 2535277703
BaseRepresentation
bin1111111000111…
…11010100100000
3100021211012201020
413330133110200
5233111004230
621121005440
73206003163
oct774372440
9307735636
10133297440
1169274381
1238783880
1321801633
14139bbada
15ba80810
hex7f1f520

133297440 has 48 divisors (see below), whose sum is σ = 419888448. Its totient is φ = 35545856.

The previous prime is 133297387. The next prime is 133297447. The reversal of 133297440 is 44792331.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (133297447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138372 + ... + 139331.

It is an arithmetic number, because the mean of its divisors is an integer number (8747676).

Almost surely, 2133297440 is an apocalyptic number.

133297440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133297440 is an abundant number, since it is smaller than the sum of its proper divisors (286591008).

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

133297440 is a wasteful number, since it uses less digits than its factorization.

133297440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277721 (or 277713 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 133297440 is about 11545.4510522543. The cubic root of 133297440 is about 510.8271084817.

The spelling of 133297440 in words is "one hundred thirty-three million, two hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 277703 555406 833109 1110812 1388515 1666218 2221624 2777030 3332436 4165545 4443248 5554060 6664872 8331090 8886496 11108120 13329744 16662180 22216240 26659488 33324360 44432480 66648720 133297440