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12942020 = 2257132547
BaseRepresentation
bin110001010111…
…101011000100
3220100112010002
4301113223010
511303121040
61141220432
7215001560
oct61275304
926315102
1012942020
11733a593
124401718
1328b1a00
141a0c6a0
151209a15
hexc57ac4

12942020 has 72 divisors (see below), whose sum is σ = 33695424. Its totient is φ = 4088448.

The previous prime is 12941993. The next prime is 12942023. The reversal of 12942020 is 2024921.

12942020 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 Harshad number since it is a multiple of its sum of digits (20).

12942020 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 12941983 and 12942001.

It is not an unprimeable number, because it can be changed into a prime (12942023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23387 + ... + 23933.

It is an arithmetic number, because the mean of its divisors is an integer number (467992).

Almost surely, 212942020 is an apocalyptic number.

12942020 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 12942020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16847712).

12942020 is an abundant number, since it is smaller than the sum of its proper divisors (20753404).

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

12942020 is a wasteful number, since it uses less digits than its factorization.

12942020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12942020 is about 3597.5019110488. The cubic root of 12942020 is about 234.7833827036.

Adding to 12942020 its reverse (2024921), we get a palindrome (14966941).

The spelling of 12942020 in words is "twelve million, nine hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 547 676 845 910 1094 1183 1690 1820 2188 2366 2735 3380 3829 4732 5470 5915 7111 7658 10940 11830 14222 15316 19145 23660 28444 35555 38290 49777 71110 76580 92443 99554 142220 184886 199108 248885 369772 462215 497770 647101 924430 995540 1294202 1848860 2588404 3235505 6471010 12942020