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42690060 = 223257171993
BaseRepresentation
bin1010001011011…
…0011000001100
32222022212202100
42202312120030
541412040220
64122555100
71025600550
oct242663014
988285670
1042690060
1122108746
1212368a90
138ac90ba
145953860
153b33d90
hex28b660c

42690060 has 144 divisors (see below), whose sum is σ = 156776256. Its totient is φ = 9179136.

The previous prime is 42690049. The next prime is 42690071. The reversal of 42690060 is 6009624.

It is an interprime number because it is at equal distance from previous prime (42690049) and next prime (42690071).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20424 + ... + 22416.

It is an arithmetic number, because the mean of its divisors is an integer number (1088724).

Almost surely, 242690060 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 42690060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78388128).

42690060 is an abundant number, since it is smaller than the sum of its proper divisors (114086196).

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

42690060 is a wasteful number, since it uses less digits than its factorization.

42690060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2027 counting only the distinct ones).

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

The square root of 42690060 is about 6533.7630811042. The cubic root of 42690060 is about 349.4960365985.

Adding to 42690060 its reverse (6009624), we get a palindrome (48699684).

The spelling of 42690060 in words is "forty-two million, six hundred ninety thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 1993 2142 2380 3060 3570 3986 4284 5355 5979 7140 7972 9965 10710 11958 13951 17937 19930 21420 23916 27902 29895 33881 35874 39860 41853 55804 59790 67762 69755 71748 83706 89685 101643 119580 125559 135524 139510 167412 169405 179370 203286 209265 237167 251118 279020 304929 338810 358740 406572 418530 474334 502236 508215 609858 627795 677620 711501 837060 948668 1016430 1185835 1219716 1255590 1423002 1524645 2032860 2134503 2371670 2511180 2846004 3049290 3557505 4269006 4743340 6098580 7115010 8538012 10672515 14230020 21345030 42690060