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12977380 = 22513193771
BaseRepresentation
bin110001100000…
…010011100100
3220102022121201
4301200103210
511310234010
61142052244
7215206633
oct61402344
926368551
1012977380
117364109
12441a084
1328c4b30
141a1b51a
15121523a
hexc604e4

12977380 has 96 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4354560.

The previous prime is 12977369. The next prime is 12977381. The reversal of 12977380 is 8377921.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12977381) 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, 182745 + ... + 182815.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 212977380 is an apocalyptic number.

12977380 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 12977380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

12977380 is an abundant number, since it is smaller than the sum of its proper divisors (19197980).

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

12977380 is a wasteful number, since it uses less digits than its factorization.

12977380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 12977380 is about 3602.4130801450. The cubic root of 12977380 is about 234.9970121847.

The spelling of 12977380 in words is "twelve million, nine hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 19 20 26 37 38 52 65 71 74 76 95 130 142 148 185 190 247 260 284 355 370 380 481 494 703 710 740 923 962 988 1235 1349 1406 1420 1846 1924 2405 2470 2627 2698 2812 3515 3692 4615 4810 4940 5254 5396 6745 7030 9139 9230 9620 10508 13135 13490 14060 17537 18278 18460 26270 26980 34151 35074 36556 45695 49913 52540 68302 70148 87685 91390 99826 136604 170755 175370 182780 199652 249565 341510 350740 499130 648869 683020 998260 1297738 2595476 3244345 6488690 12977380