Search a number
-
+
12977820 = 223458011
BaseRepresentation
bin110001100000…
…011010011100
3220102100020000
4301200122130
511310242240
61142054300
7215211132
oct61403234
926370200
1012977820
117364479
12441a390
1328c50ab
141a1b752
151215430
hexc6069c

12977820 has 60 divisors (see below), whose sum is σ = 40716984. Its totient is φ = 3460320.

The previous prime is 12977813. The next prime is 12977821. The reversal of 12977820 is 2877921.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12977821) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2386 + ... + 5625.

Almost surely, 212977820 is an apocalyptic number.

12977820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12977820 is an abundant number, since it is smaller than the sum of its proper divisors (27739164).

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

12977820 is a wasteful number, since it uses less digits than its factorization.

12977820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8032 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 12977820 is about 3602.4741498032. The cubic root of 12977820 is about 234.9996680243. Note that the first 3 decimals are identical.

The spelling of 12977820 in words is "twelve million, nine hundred seventy-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 8011 16022 24033 32044 40055 48066 72099 80110 96132 120165 144198 160220 216297 240330 288396 360495 432594 480660 648891 720990 865188 1081485 1297782 1441980 2162970 2595564 3244455 4325940 6488910 12977820