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12272820 = 2235729221
BaseRepresentation
bin101110110100…
…010010110100
3212002112010220
4232310102310
511120212240
61115014340
7206213550
oct56642264
925075126
1012272820
116a2282a
12413a3b0
132709231
1418b6860
1511265d0
hexbb44b4

12272820 has 48 divisors (see below), whose sum is σ = 39274368. Its totient is φ = 2805120.

The previous prime is 12272801. The next prime is 12272831. The reversal of 12272820 is 2827221.

It is a happy number.

12272820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122728202 = 301244221504800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14191 + ... + 15030.

It is an arithmetic number, because the mean of its divisors is an integer number (818216).

Almost surely, 212272820 is an apocalyptic number.

12272820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12272820 is an abundant number, since it is smaller than the sum of its proper divisors (27001548).

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

12272820 is a wasteful number, since it uses less digits than its factorization.

12272820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29240 (or 29238 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12272820 is about 3503.2584831839. The cubic root of 12272820 is about 230.6648688794.

The spelling of 12272820 in words is "twelve million, two hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 29221 58442 87663 116884 146105 175326 204547 292210 350652 409094 438315 584420 613641 818188 876630 1022735 1227282 1753260 2045470 2454564 3068205 4090940 6136410 12272820