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12276900 = 2233524547
BaseRepresentation
bin101110110101…
…010010100100
3212002201202000
4232311102210
511120330100
61115045300
7206231466
oct56652244
925081660
1012276900
116a258a9
124140830
13270b04c
1418b8136
151127900
hexbb54a4

12276900 has 72 divisors (see below), whose sum is σ = 39476640. Its totient is φ = 3273120.

The previous prime is 12276893. The next prime is 12276931. The reversal of 12276900 is 967221.

12276900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122769002 = 301444547220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 427 + ... + 4973.

Almost surely, 212276900 is an apocalyptic number.

12276900 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 12276900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19738320).

12276900 is an abundant number, since it is smaller than the sum of its proper divisors (27199740).

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

12276900 is a wasteful number, since it uses less digits than its factorization.

12276900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4570 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12276900 is about 3503.8407498058. The cubic root of 12276900 is about 230.6904269390.

The spelling of 12276900 in words is "twelve million, two hundred seventy-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4547 9094 13641 18188 22735 27282 40923 45470 54564 68205 81846 90940 113675 122769 136410 163692 204615 227350 245538 272820 341025 409230 454700 491076 613845 682050 818460 1023075 1227690 1364100 2046150 2455380 3069225 4092300 6138450 12276900