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12420560 = 2451071451
BaseRepresentation
bin101111011000…
…010111010000
3212101000210202
4233120113100
511134424220
61122114332
7210400355
oct57302720
925330722
1012420560
117013829
1241ab9a8
13275b559
14191462c
151155275
hexbd85d0

12420560 has 40 divisors (see below), whose sum is σ = 29167776. Its totient is φ = 4918400.

The previous prime is 12420521. The next prime is 12420571. The reversal of 12420560 is 6502421.

It is a happy number.

12420560 is digitally balanced in base 2, because in such base 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).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 7835 + ... + 9285.

Almost surely, 212420560 is an apocalyptic number.

12420560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583888).

12420560 is an abundant number, since it is smaller than the sum of its proper divisors (16747216).

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

12420560 is a wasteful number, since it uses less digits than its factorization.

12420560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12420560 is about 3524.2814870552. The cubic root of 12420560 is about 231.5867594146.

Adding to 12420560 its reverse (6502421), we get a palindrome (18922981).

The spelling of 12420560 in words is "twelve million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1451 1712 2140 2902 4280 5804 7255 8560 11608 14510 23216 29020 58040 116080 155257 310514 621028 776285 1242056 1552570 2484112 3105140 6210280 12420560