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290049660 = 22355371613
BaseRepresentation
bin10001010010011…
…100111001111100
3202012210001100000
4101102130321330
51043223042120
644440434300
710121244555
oct2122347174
9665701300
10290049660
111397a866a
1281178990
1348125a24
142a74332c
151a6e5990
hex1149ce7c

290049660 has 144 divisors (see below), whose sum is σ = 937643616. Its totient is φ = 75209472.

The previous prime is 290049647. The next prime is 290049689. The reversal of 290049660 is 66940092.

It is a super-2 number, since 2×2900496602 = 168257610532231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179014 + ... + 180626.

It is an arithmetic number, because the mean of its divisors is an integer number (6511414).

Almost surely, 2290049660 is an apocalyptic number.

290049660 is a gapful number since it is divisible by the number (20) 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 290049660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468821808).

290049660 is an abundant number, since it is smaller than the sum of its proper divisors (647593956).

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

290049660 is a wasteful number, since it uses less digits than its factorization.

290049660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 290049660 is about 17030.8443713164. The cubic root of 290049660 is about 661.9483748073.

The spelling of 290049660 in words is "two hundred ninety million, forty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 243 270 324 333 370 405 444 486 540 555 666 740 810 972 999 1110 1215 1332 1613 1620 1665 1998 2220 2430 2997 3226 3330 3996 4839 4860 4995 5994 6452 6660 8065 8991 9678 9990 11988 14517 14985 16130 17982 19356 19980 24195 29034 29970 32260 35964 43551 44955 48390 58068 59681 59940 72585 87102 89910 96780 119362 130653 145170 174204 179043 179820 217755 238724 261306 290340 298405 358086 391959 435510 522612 537129 596810 653265 716172 783918 871020 895215 1074258 1193620 1306530 1567836 1611387 1790430 1959795 2148516 2613060 2685645 3222774 3580860 3919590 4834161 5371290 6445548 7839180 8056935 9668322 10742580 14502483 16113870 19336644 24170805 29004966 32227740 48341610 58009932 72512415 96683220 145024830 290049660