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12683040 = 253526423
BaseRepresentation
bin110000011000…
…011100100000
3212212100212020
4300120130200
511221324130
61131501440
7212542536
oct60303440
925770766
1012683040
117182a57
1242b7880
132820b76
141982156
1511a7e10
hexc18720

12683040 has 48 divisors (see below), whose sum is σ = 39953088. Its totient is φ = 3382016.

The previous prime is 12683023. The next prime is 12683113. The reversal of 12683040 is 4038621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 12683040.

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, 12732 + ... + 13691.

It is an arithmetic number, because the mean of its divisors is an integer number (832356).

Almost surely, 212683040 is an apocalyptic number.

12683040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12683040 is an abundant number, since it is smaller than the sum of its proper divisors (27270048).

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

12683040 is a wasteful number, since it uses less digits than its factorization.

12683040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26441 (or 26433 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12683040 is about 3561.3255958982. The cubic root of 12683040 is about 233.2067522050.

The spelling of 12683040 in words is "twelve million, six hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26423 52846 79269 105692 132115 158538 211384 264230 317076 396345 422768 528460 634152 792690 845536 1056920 1268304 1585380 2113840 2536608 3170760 4227680 6341520 12683040