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12403680 = 253525841
BaseRepresentation
bin101111010100…
…001111100000
3212100011122120
4233110033200
511133404210
61121504240
7210300222
oct57241740
925304576
1012403680
117002083
1241a2080
132753973
14190c412
151150270
hexbd43e0

12403680 has 48 divisors (see below), whose sum is σ = 39073104. Its totient is φ = 3307520.

The previous prime is 12403673. The next prime is 12403687. The reversal of 12403680 is 8630421.

It is a happy number.

12403680 is digitally balanced in base 2, because in such base 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 (12403673) and next prime (12403687).

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 12403680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12403687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12441 + ... + 13400.

It is an arithmetic number, because the mean of its divisors is an integer number (814023).

Almost surely, 212403680 is an apocalyptic number.

12403680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12403680 is an abundant number, since it is smaller than the sum of its proper divisors (26669424).

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

12403680 is a wasteful number, since it uses less digits than its factorization.

12403680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25859 (or 25851 counting only the distinct ones).

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

The square root of 12403680 is about 3521.8858584571. The cubic root of 12403680 is about 231.4818001979.

The spelling of 12403680 in words is "twelve million, four hundred three thousand, six hundred eighty".

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 25841 51682 77523 103364 129205 155046 206728 258410 310092 387615 413456 516820 620184 775230 826912 1033640 1240368 1550460 2067280 2480736 3100920 4134560 6201840 12403680