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290685616 = 241337107353
BaseRepresentation
bin10001010100111…
…000001010110000
3202020222100200221
4101110320022300
51043403414431
644502222424
710126533634
oct2124701260
9666870627
10290685616
1113a0a2451
1281424a14
13482b9330
142a86adc4
151a7be111
hex115382b0

290685616 has 80 divisors (see below), whose sum is σ = 630522144. Its totient is φ = 128950272.

The previous prime is 290685583. The next prime is 290685643. The reversal of 290685616 is 616586092.

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 15 ways as a sum of consecutive naturals, for example, 823296 + ... + 823648.

Almost surely, 2290685616 is an apocalyptic number.

290685616 is a gapful number since it is divisible by the number (26) 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 290685616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315261072).

290685616 is an abundant number, since it is smaller than the sum of its proper divisors (339836528).

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

290685616 is a wasteful number, since it uses less digits than its factorization.

290685616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 290685616 is about 17049.5048608457. The cubic root of 290685616 is about 662.4318124196.

The spelling of 290685616 in words is "two hundred ninety million, six hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 107 148 208 214 296 353 428 481 592 706 856 962 1391 1412 1712 1924 2782 2824 3848 3959 4589 5564 5648 7696 7918 9178 11128 13061 15836 18356 22256 26122 31672 36712 37771 51467 52244 63344 73424 75542 102934 104488 151084 169793 205868 208976 302168 339586 411736 491023 604336 679172 823472 982046 1358344 1397527 1964092 2716688 2795054 3928184 5590108 7856368 11180216 18167851 22360432 36335702 72671404 145342808 290685616