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12900280 = 2351761311
BaseRepresentation
bin110001001101…
…011110111000
3220021101212011
4301031132320
511300302110
61140255304
7214436101
oct61153670
926241764
1012900280
117311198
1243a1534
132898a03
1419db3a8
1511ec48a
hexc4d7b8

12900280 has 64 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 4761600.

The previous prime is 12900227. The next prime is 12900289. The reversal of 12900280 is 8200921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12900289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41325 + ... + 41635.

It is an arithmetic number, because the mean of its divisors is an integer number (489645).

Almost surely, 212900280 is an apocalyptic number.

12900280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12900280 is the 2074-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12900280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

12900280 is an abundant number, since it is smaller than the sum of its proper divisors (18437000).

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

12900280 is a wasteful number, since it uses less digits than its factorization.

12900280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 12900280 is about 3591.6959782253. The cubic root of 12900280 is about 234.5307067261.

The spelling of 12900280 in words is "twelve million, nine hundred thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 311 340 488 610 622 680 1037 1220 1244 1555 2074 2440 2488 3110 4148 5185 5287 6220 8296 10370 10574 12440 18971 20740 21148 26435 37942 41480 42296 52870 75884 94855 105740 151768 189710 211480 322507 379420 645014 758840 1290028 1612535 2580056 3225070 6450140 12900280