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12842370 = 2325314603
BaseRepresentation
bin110000111111…
…010110000010
3220011110102100
4300333112002
511241423440
61135131230
7214105212
oct60772602
926143370
1012842370
117281732
124373b16
132878548
1419c4242
1511da230
hexc3f582

12842370 has 48 divisors (see below), whose sum is σ = 34474752. Its totient is φ = 3313440.

The previous prime is 12842363. The next prime is 12842371. The reversal of 12842370 is 7324821.

12842370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12842371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489 + ... + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (718224).

Almost surely, 212842370 is an apocalyptic number.

12842370 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 12842370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17237376).

12842370 is an abundant number, since it is smaller than the sum of its proper divisors (21632382).

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

12842370 is a wasteful number, since it uses less digits than its factorization.

12842370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12842370 is about 3583.6252594265. The cubic root of 12842370 is about 234.1792402722.

The spelling of 12842370 in words is "twelve million, eight hundred forty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 4603 9206 13809 23015 27618 41427 46030 69045 82854 138090 142693 207135 285386 414270 428079 713465 856158 1284237 1426930 2140395 2568474 4280790 6421185 12842370