Search a number
-
+
290013000 = 2335396671
BaseRepresentation
bin10001010010010…
…011111101001000
3202012201012001020
4101102103331020
51043220404000
644435552440
710121032644
oct2122237510
9665635036
10290013000
11139783072
128115b720
1348112134
142a733c24
151a6d9ba0
hex11493f48

290013000 has 64 divisors (see below), whose sum is σ = 904849920. Its totient is φ = 77336000.

The previous prime is 290012999. The next prime is 290013011. The reversal of 290013000 is 310092.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 45336 + ... + 51335.

It is an arithmetic number, because the mean of its divisors is an integer number (14138280).

Almost surely, 2290013000 is an apocalyptic number.

290013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290013000 is an abundant number, since it is smaller than the sum of its proper divisors (614836920).

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

290013000 is a wasteful number, since it uses less digits than its factorization.

290013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96695 (or 96681 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 290013000 is about 17029.7680547916. The cubic root of 290013000 is about 661.9204852729.

Adding to 290013000 its reverse (310092), we get a palindrome (290323092).

The spelling of 290013000 in words is "two hundred ninety million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 96671 193342 290013 386684 483355 580026 773368 966710 1160052 1450065 1933420 2320104 2416775 2900130 3866840 4833550 5800260 7250325 9667100 11600520 12083875 14500650 19334200 24167750 29001300 36251625 48335500 58002600 72503250 96671000 145006500 290013000