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12992540 = 2251173809
BaseRepresentation
bin110001100100…
…000000011100
3220110002102012
4301210000130
511311230130
61142250352
7215302061
oct61440034
926402365
1012992540
117374540
1244269b8
1328cb9c2
141a22c68
151219995
hexc6401c

12992540 has 48 divisors (see below), whose sum is σ = 30209760. Its totient is φ = 4654080.

The previous prime is 12992533. The next prime is 12992543. The reversal of 12992540 is 4529921.

It is a junction number, because it is equal to n+sod(n) for n = 12992497 and 12992506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12992543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15656 + ... + 16464.

It is an arithmetic number, because the mean of its divisors is an integer number (629370).

Almost surely, 212992540 is an apocalyptic number.

12992540 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 12992540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104880).

12992540 is an abundant number, since it is smaller than the sum of its proper divisors (17217220).

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

12992540 is a wasteful number, since it uses less digits than its factorization.

12992540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 12992540 is about 3604.5166111422. The cubic root of 12992540 is about 235.0884833538.

The spelling of 12992540 in words is "twelve million, nine hundred ninety-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 809 1460 1606 1618 3212 3236 4015 4045 8030 8090 8899 16060 16180 17798 35596 44495 59057 88990 118114 177980 236228 295285 590570 649627 1181140 1299254 2598508 3248135 6496270 12992540