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12677140 = 22572331127
BaseRepresentation
bin110000010111…
…000000010100
3212212001202201
4300113000110
511221132030
61131414244
7212516410
oct60270024
925761681
1012677140
117179583
1242b4384
13281b288
14197dd40
1511a62ca
hexc17014

12677140 has 96 divisors (see below), whose sum is σ = 33030144. Its totient is φ = 3991680.

The previous prime is 12677111. The next prime is 12677141. The reversal of 12677140 is 4177621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12677099 and 12677108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12677141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99757 + ... + 99883.

It is an arithmetic number, because the mean of its divisors is an integer number (344064).

Almost surely, 212677140 is an apocalyptic number.

12677140 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 12677140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515072).

12677140 is an abundant number, since it is smaller than the sum of its proper divisors (20353004).

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

12677140 is a wasteful number, since it uses less digits than its factorization.

12677140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 12677140 is about 3560.4971562971. The cubic root of 12677140 is about 233.1705849232.

The spelling of 12677140 in words is "twelve million, six hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 31 35 46 62 70 92 115 124 127 140 155 161 217 230 254 310 322 434 460 508 620 635 644 713 805 868 889 1085 1270 1426 1610 1778 2170 2540 2852 2921 3220 3556 3565 3937 4340 4445 4991 5842 7130 7874 8890 9982 11684 14260 14605 15748 17780 19685 19964 20447 24955 27559 29210 39370 40894 49910 55118 58420 78740 81788 90551 99820 102235 110236 137795 181102 204470 275590 362204 408940 452755 551180 633857 905510 1267714 1811020 2535428 3169285 6338570 12677140