Search a number
-
+
290696140 = 225715113751
BaseRepresentation
bin10001010100111…
…010101111001100
3202020222220010201
4101110322233030
51043404234030
644502343244
710126606420
oct2124725714
9666886121
10290696140
1113a0aa349
128142ab24
13482c1067
142a870b80
151a7c22ca
hex1153abcc

290696140 has 48 divisors (see below), whose sum is σ = 702342144. Its totient is φ = 99000000.

The previous prime is 290696123. The next prime is 290696167. The reversal of 290696140 is 41696092.

It is a self number, because there is not a number n which added to its sum of digits gives 290696140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14265 + ... + 28015.

It is an arithmetic number, because the mean of its divisors is an integer number (14632128).

Almost surely, 2290696140 is an apocalyptic number.

290696140 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 290696140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351171072).

290696140 is an abundant number, since it is smaller than the sum of its proper divisors (411646004).

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

290696140 is a wasteful number, since it uses less digits than its factorization.

290696140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13918 (or 13916 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 290696140 is about 17049.8134887159. The cubic root of 290696140 is about 662.4398065639.

The spelling of 290696140 in words is "two hundred ninety million, six hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 2114 3020 4228 5285 10570 13751 21140 27502 55004 68755 96257 137510 192514 275020 385028 481285 962570 1925140 2076401 4152802 8305604 10382005 14534807 20764010 29069614 41528020 58139228 72674035 145348070 290696140