Search a number
-
+
290295960 = 23356473739
BaseRepresentation
bin10001010011011…
…001000010011000
3202020020120012020
4101103121002120
51043303432320
644450014440
710123321623
oct2123310230
9666216166
10290295960
11139956719
1281277420
13481b0b76
142a7a8dba
151a743940
hex114d9098

290295960 has 64 divisors (see below), whose sum is σ = 872467200. Its totient is φ = 77271936.

The previous prime is 290295931. The next prime is 290295977. The reversal of 290295960 is 69592092.

It is a congruent number.

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, 75771 + ... + 79509.

It is an arithmetic number, because the mean of its divisors is an integer number (13632300).

Almost surely, 2290295960 is an apocalyptic number.

290295960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290295960 is an abundant number, since it is smaller than the sum of its proper divisors (582171240).

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

290295960 is a wasteful number, since it uses less digits than its factorization.

290295960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 290295960 is about 17038.0738347972. The cubic root of 290295960 is about 662.1356895793.

The spelling of 290295960 in words is "two hundred ninety million, two hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 647 1294 1941 2588 3235 3739 3882 5176 6470 7478 7764 9705 11217 12940 14956 15528 18695 19410 22434 25880 29912 37390 38820 44868 56085 74780 77640 89736 112170 149560 224340 448680 2419133 4838266 7257399 9676532 12095665 14514798 19353064 24191330 29029596 36286995 48382660 58059192 72573990 96765320 145147980 290295960