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12797820 = 22325721451
BaseRepresentation
bin110000110100…
…011101111100
3220002012022100
4300310131330
511234012240
61134145100
7213531300
oct60643574
926065270
1012797820
117251212
124352190
132861199
1419b1d00
1511cbe30
hexc3477c

12797820 has 108 divisors (see below), whose sum is σ = 45189144. Its totient is φ = 2923200.

The previous prime is 12797809. The next prime is 12797833. The reversal of 12797820 is 2879721.

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

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 35 ways as a sum of consecutive naturals, for example, 8095 + ... + 9545.

It is an arithmetic number, because the mean of its divisors is an integer number (418418).

Almost surely, 212797820 is an apocalyptic number.

12797820 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 12797820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22594572).

12797820 is an abundant number, since it is smaller than the sum of its proper divisors (32391324).

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

12797820 is a wasteful number, since it uses less digits than its factorization.

12797820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

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

The square root of 12797820 is about 3577.4040867646. The cubic root of 12797820 is about 233.9081383892.

The spelling of 12797820 in words is "twelve million, seven hundred ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1451 1470 1764 2205 2902 2940 4353 4410 5804 7255 8706 8820 10157 13059 14510 17412 20314 21765 26118 29020 30471 40628 43530 50785 52236 60942 65295 71099 87060 91413 101570 121884 130590 142198 152355 182826 203140 213297 261180 284396 304710 355495 365652 426594 457065 609420 639891 710990 853188 914130 1066485 1279782 1421980 1828260 2132970 2559564 3199455 4265940 6398910 12797820