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12242640 = 2435291759
BaseRepresentation
bin101110101100…
…111011010000
3212000222202010
4232230323100
511113231030
61114222520
7206026554
oct56547320
925028663
1012242640
116a02093
124124a40
1326c8587
1418a9864
15111c6b0
hexbaced0

12242640 has 80 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 3150336.

The previous prime is 12242623. The next prime is 12242651. The reversal of 12242640 is 4624221.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 6081 + ... + 7839.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 212242640 is an apocalyptic number.

12242640 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 12242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

12242640 is an abundant number, since it is smaller than the sum of its proper divisors (27040560).

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

12242640 is a wasteful number, since it uses less digits than its factorization.

12242640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 12242640 is about 3498.9484134522. The cubic root of 12242640 is about 230.4756382639.

Adding to 12242640 its reverse (4624221), we get a palindrome (16866861).

The spelling of 12242640 in words is "twelve million, two hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 1759 2320 3480 3518 5277 6960 7036 8795 10554 14072 17590 21108 26385 28144 35180 42216 51011 52770 70360 84432 102022 105540 140720 153033 204044 211080 255055 306066 408088 422160 510110 612132 765165 816176 1020220 1224264 1530330 2040440 2448528 3060660 4080880 6121320 12242640