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12242840 = 2351989181
BaseRepresentation
bin101110101100…
…111110011000
3212001000000112
4232230332120
511113232330
61114223452
7206030261
oct56547630
925030015
1012242840
116a02255
124124b88
1326c86ac
1418a9968
15111c795
hexbacf98

12242840 has 64 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 4561920.

The previous prime is 12242807. The next prime is 12242849. The reversal of 12242840 is 4824221.

12242840 = 3262 + 3272 + ... + 4142.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12242849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67550 + ... + 67730.

Almost surely, 212242840 is an apocalyptic number.

12242840 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 12242840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

12242840 is an abundant number, since it is smaller than the sum of its proper divisors (17241160).

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

12242840 is a wasteful number, since it uses less digits than its factorization.

12242840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 12242840 is about 3498.9769933511. The cubic root of 12242840 is about 230.4768933003.

The spelling of 12242840 in words is "twelve million, two hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 89 95 152 178 181 190 356 362 380 445 712 724 760 890 905 1448 1691 1780 1810 3382 3439 3560 3620 6764 6878 7240 8455 13528 13756 16109 16910 17195 27512 32218 33820 34390 64436 67640 68780 80545 128872 137560 161090 306071 322180 612142 644360 1224284 1530355 2448568 3060710 6121420 12242840