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12540480 = 263513063
BaseRepresentation
bin101111110101…
…101001000000
3212121010022020
4233311221000
511202243410
61124441440
7211410111
oct57655100
925533266
1012540480
117095937
124249280
1327a1004
141946208
15117aa70
hexbf5a40

12540480 has 56 divisors (see below), whose sum is σ = 39819072. Its totient is φ = 3343872.

The previous prime is 12540469. The next prime is 12540491. The reversal of 12540480 is 8404521.

12540480 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 an interprime number because it is at equal distance from previous prime (12540469) and next prime (12540491).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12540480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5572 + ... + 7491.

Almost surely, 212540480 is an apocalyptic number.

12540480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12540480 is an abundant number, since it is smaller than the sum of its proper divisors (27278592).

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

12540480 is a wasteful number, since it uses less digits than its factorization.

12540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13083 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12540480 is about 3541.2540151760. The cubic root of 12540480 is about 232.3296937573.

The spelling of 12540480 in words is "twelve million, five hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 13063 26126 39189 52252 65315 78378 104504 130630 156756 195945 209008 261260 313512 391890 418016 522520 627024 783780 836032 1045040 1254048 1567560 2090080 2508096 3135120 4180160 6270240 12540480