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133205460 = 223514871493
BaseRepresentation
bin1111111000010…
…00110111010100
3100021122112112120
413330020313110
5233100033320
621115015540
73205141053
oct774106724
9307575476
10133205460
1169211263
123873a5b0
132179b7cb
141399639a
15ba63440
hex7f08dd4

133205460 has 48 divisors (see below), whose sum is σ = 373476096. Its totient is φ = 35473792.

The previous prime is 133205459. The next prime is 133205461. The reversal of 133205460 is 64502331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133205459) and next prime (133205461).

It is a self number, because there is not a number n which added to its sum of digits gives 133205460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133205461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88474 + ... + 89966.

It is an arithmetic number, because the mean of its divisors is an integer number (7780752).

Almost surely, 2133205460 is an apocalyptic number.

133205460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133205460 is an abundant number, since it is smaller than the sum of its proper divisors (240270636).

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

133205460 is a wasteful number, since it uses less digits than its factorization.

133205460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 133205460 is about 11541.4669778153. The cubic root of 133205460 is about 510.7095851222.

Adding to 133205460 its reverse (64502331), we get a palindrome (197707791).

The spelling of 133205460 in words is "one hundred thirty-three million, two hundred five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1487 1493 2974 2986 4461 4479 5948 5972 7435 7465 8922 8958 14870 14930 17844 17916 22305 22395 29740 29860 44610 44790 89220 89580 2220091 4440182 6660273 8880364 11100455 13320546 22200910 26641092 33301365 44401820 66602730 133205460