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12465040 = 245722259
BaseRepresentation
bin101111100011…
…001110010000
3212110021211011
4233203032100
511142340130
61123100304
7210644140
oct57431620
925407734
1012465040
117044195
124211694
132775883
141926920
15116352a
hexbe3390

12465040 has 40 divisors (see below), whose sum is σ = 33122880. Its totient is φ = 4273536.

The previous prime is 12465001. The next prime is 12465049. The reversal of 12465040 is 4056421.

12465040 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

12465040 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12465049) 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, 10570 + ... + 11689.

It is an arithmetic number, because the mean of its divisors is an integer number (828072).

Almost surely, 212465040 is an apocalyptic number.

12465040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12465040 is an abundant number, since it is smaller than the sum of its proper divisors (20657840).

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

12465040 is a wasteful number, since it uses less digits than its factorization.

12465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22279 (or 22273 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 12465040 is about 3530.5863535679. The cubic root of 12465040 is about 231.8628797340.

The spelling of 12465040 in words is "twelve million, four hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 22259 44518 89036 111295 155813 178072 222590 311626 356144 445180 623252 779065 890360 1246504 1558130 1780720 2493008 3116260 6232520 12465040