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12933900 = 22325272053
BaseRepresentation
bin110001010101…
…101100001100
3220100002222100
4301111230030
511302341100
61141115100
7214636110
oct61255414
926302870
1012933900
117334481
1243b8a90
1328ab0c5
141a09740
151207400
hexc55b0c

12933900 has 108 divisors (see below), whose sum is σ = 46354672. Its totient is φ = 2954880.

The previous prime is 12933871. The next prime is 12933919. The reversal of 12933900 is 933921.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5274 + ... + 7326.

Almost surely, 212933900 is an apocalyptic number.

12933900 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 12933900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23177336).

12933900 is an abundant number, since it is smaller than the sum of its proper divisors (33420772).

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

12933900 is a wasteful number, since it uses less digits than its factorization.

12933900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 12933900 is about 3596.3731730731. The cubic root of 12933900 is about 234.7342703312.

The spelling of 12933900 in words is "twelve million, nine hundred thirty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2053 2100 3150 4106 6159 6300 8212 10265 12318 14371 18477 20530 24636 28742 30795 36954 41060 43113 51325 57484 61590 71855 73908 86226 92385 102650 123180 129339 143710 153975 172452 184770 205300 215565 258678 287420 307950 359275 369540 431130 461925 517356 615900 646695 718550 862260 923850 1077825 1293390 1437100 1847700 2155650 2586780 3233475 4311300 6466950 12933900