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42900660 = 223251147461
BaseRepresentation
bin1010001110100…
…1110010110100
32222201120122100
42203221302310
541440310120
64131302100
71030435545
oct243516264
988646570
1042900660
11222419a0
121244a930
138b70c0a
1459aa4cc
153b76490
hex28e9cb4

42900660 has 144 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 10156800.

The previous prime is 42900653. The next prime is 42900661. The reversal of 42900660 is 6600924.

42900660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42900661) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 92830 + ... + 93290.

It is an arithmetic number, because the mean of its divisors is an integer number (1009008).

Almost surely, 242900660 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 42900660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

42900660 is an abundant number, since it is smaller than the sum of its proper divisors (102396492).

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

42900660 is a wasteful number, since it uses less digits than its factorization.

42900660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42900660 is about 6549.8595404787. The cubic root of 42900660 is about 350.0698092045.

The spelling of 42900660 in words is "forty-two million, nine hundred thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 461 470 495 517 564 660 705 846 922 940 990 1034 1383 1410 1551 1692 1844 1980 2068 2115 2305 2585 2766 2820 3102 4149 4230 4610 4653 5071 5170 5532 6204 6915 7755 8298 8460 9220 9306 10142 10340 13830 15213 15510 16596 18612 20284 20745 21667 23265 25355 27660 30426 31020 41490 43334 45639 46530 50710 60852 65001 76065 82980 86668 91278 93060 101420 108335 130002 152130 182556 195003 216670 228195 238337 260004 304260 325005 390006 433340 456390 476674 650010 715011 780012 912780 953348 975015 1191685 1300020 1430022 1950030 2145033 2383370 2860044 3575055 3900060 4290066 4766740 7150110 8580132 10725165 14300220 21450330 42900660