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12940020 = 2233531773
BaseRepresentation
bin110001010111…
…001011110100
3220100102101000
4301113023310
511303040040
61141203300
7214663002
oct61271364
926312330
1012940020
117339035
124400530
1328b0b22
141a0ba72
151209130
hexc572f4

12940020 has 96 divisors (see below), whose sum is σ = 41610240. Its totient is φ = 3335040.

The previous prime is 12940001. The next prime is 12940073. The reversal of 12940020 is 2004921.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12939975 and 12940002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16354 + ... + 17126.

It is an arithmetic number, because the mean of its divisors is an integer number (433440).

Almost surely, 212940020 is an apocalyptic number.

12940020 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 12940020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20805120).

12940020 is an abundant number, since it is smaller than the sum of its proper divisors (28670220).

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

12940020 is a wasteful number, since it uses less digits than its factorization.

12940020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12940020 is about 3597.2239296435. The cubic root of 12940020 is about 234.7712879673.

Adding to 12940020 its reverse (2004921), we get a palindrome (14944941).

The spelling of 12940020 in words is "twelve million, nine hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 773 837 930 1116 1395 1546 1674 1860 2319 2790 3092 3348 3865 4185 4638 5580 6957 7730 8370 9276 11595 13914 15460 16740 20871 23190 23963 27828 34785 41742 46380 47926 69570 71889 83484 95852 104355 119815 139140 143778 208710 215667 239630 287556 359445 417420 431334 479260 647001 718890 862668 1078335 1294002 1437780 2156670 2588004 3235005 4313340 6470010 12940020