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133640460 = 223257110457
BaseRepresentation
bin1111111011100…
…11000100001100
3100022110122020200
413331303010030
5233202443320
621132213500
73211632222
oct775630414
9308418220
10133640460
1169489068
123890a290
13218c17c5
1413a6ab12
15baec290
hex7f7310c

133640460 has 72 divisors (see below), whose sum is σ = 411124896. Its totient is φ = 35132160.

The previous prime is 133640459. The next prime is 133640483. The reversal of 133640460 is 64046331.

133640460 is a `hidden beast` number, since 13 + 3 + 640 + 4 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7552 + ... + 18008.

It is an arithmetic number, because the mean of its divisors is an integer number (5710068).

Almost surely, 2133640460 is an apocalyptic number.

133640460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133640460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205562448).

133640460 is an abundant number, since it is smaller than the sum of its proper divisors (277484436).

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

133640460 is a wasteful number, since it uses less digits than its factorization.

133640460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10543 (or 10538 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 133640460 is about 11560.2967089950. The cubic root of 133640460 is about 511.2649109019.

Adding to 133640460 its reverse (64046331), we get a palindrome (197686791).

The spelling of 133640460 in words is "one hundred thirty-three million, six hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 10457 12780 20914 31371 41828 52285 62742 94113 104570 125484 156855 188226 209140 313710 376452 470565 627420 742447 941130 1484894 1882260 2227341 2969788 3712235 4454682 6682023 7424470 8909364 11136705 13364046 14848940 22273410 26728092 33410115 44546820 66820230 133640460