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290021280 = 25351135347
BaseRepresentation
bin10001010010010…
…101111110100000
3202012201121101220
4101102111332200
51043221140110
644440055040
710121066043
oct2122257640
9665647356
10290021280
1113978930a
1281164480
1348115b33
142a736c5a
151a6dc370
hex11495fa0

290021280 has 96 divisors (see below), whose sum is σ = 921824064. Its totient is φ = 76640256.

The previous prime is 290021279. The next prime is 290021299. The reversal of 290021280 is 82120092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2900212802 = 168224685705676800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 290021280.

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, 51567 + ... + 56913.

It is an arithmetic number, because the mean of its divisors is an integer number (9602334).

Almost surely, 2290021280 is an apocalyptic number.

290021280 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 290021280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460912032).

290021280 is an abundant number, since it is smaller than the sum of its proper divisors (631802784).

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

290021280 is a wasteful number, since it uses less digits than its factorization.

290021280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 290021280 is about 17030.0111567785. The cubic root of 290021280 is about 661.9267845876.

The spelling of 290021280 in words is "two hundred ninety million, twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3390 3616 4520 5347 5424 6780 9040 10694 10848 13560 16041 18080 21388 26735 27120 32082 42776 53470 54240 64164 80205 85552 106940 128328 160410 171104 213880 256656 320820 427760 513312 604211 641640 855520 1208422 1283280 1812633 2416844 2566560 3021055 3625266 4833688 6042110 7250532 9063165 9667376 12084220 14501064 18126330 19334752 24168440 29002128 36252660 48336880 58004256 72505320 96673760 145010640 290021280