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42312660 = 223513173191
BaseRepresentation
bin1010000101101…
…0001111010100
32221121201001120
42201122033110
541313001120
64110523540
71022436345
oct241321724
987551046
1042312660
1121980145
12122065b0
1389c63a0
1458960cc
153aac140
hex285a3d4

42312660 has 96 divisors (see below), whose sum is σ = 135136512. Its totient is φ = 9799680.

The previous prime is 42312659. The next prime is 42312671. The reversal of 42312660 is 6621324.

It is a super-2 number, since 2×423126602 = 3580722392551200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42312660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11665 + ... + 14855.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 242312660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42312660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568256).

42312660 is an abundant number, since it is smaller than the sum of its proper divisors (92823852).

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

42312660 is a wasteful number, since it uses less digits than its factorization.

42312660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 42312660 is about 6504.8182142163. The cubic root of 42312660 is about 348.4630841209.

Adding to 42312660 its reverse (6621324), we get a palindrome (48933984).

The spelling of 42312660 in words is "forty-two million, three hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3191 3315 4420 6382 6630 9573 12764 13260 15955 19146 31910 38292 41483 47865 54247 63820 82966 95730 108494 124449 162741 165932 191460 207415 216988 248898 271235 325482 414830 497796 542470 622245 650964 705211 813705 829660 1084940 1244490 1410422 1627410 2115633 2488980 2820844 3254820 3526055 4231266 7052110 8462532 10578165 14104220 21156330 42312660