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12988170 = 23251317653
BaseRepresentation
bin110001100010…
…111100001010
3220102212102100
4301202330022
511311110140
61142214230
7215253246
oct61427412
926385370
1012988170
117371228
124424376
1328c9a10
141a21426
151218530
hexc62f0a

12988170 has 96 divisors (see below), whose sum is σ = 38565072. Its totient is φ = 3004416.

The previous prime is 12988159. The next prime is 12988207. The reversal of 12988170 is 7188921.

It can be written as a sum of positive squares in 8 ways, for example, as 3272481 + 9715689 = 1809^2 + 3117^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19564 + ... + 20216.

Almost surely, 212988170 is an apocalyptic number.

12988170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12988170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282536).

12988170 is an abundant number, since it is smaller than the sum of its proper divisors (25576902).

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

12988170 is a wasteful number, since it uses less digits than its factorization.

12988170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 12988170 is about 3603.9103762441. The cubic root of 12988170 is about 235.0621233074.

The spelling of 12988170 in words is "twelve million, nine hundred eighty-eight thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 653 663 765 1105 1170 1306 1326 1530 1959 1989 2210 3265 3315 3918 3978 5877 6530 6630 8489 9795 9945 11101 11754 16978 19590 19890 22202 25467 29385 33303 42445 50934 55505 58770 66606 76401 84890 99909 111010 127335 144313 152802 166515 199818 254670 288626 333030 382005 432939 499545 721565 764010 865878 999090 1298817 1443130 2164695 2597634 4329390 6494085 12988170