Search a number
-
+
290445680 = 24571730509
BaseRepresentation
bin10001010011111…
…101100101110000
3202020112011120102
4101103331211300
51043323230210
644453131532
710124514260
oct2123754560
9666464512
10290445680
11139a49158
1281329ba8
1348234065
142a8077a0
151a772ea5
hex114fd970

290445680 has 80 divisors (see below), whose sum is σ = 817179840. Its totient is φ = 93720576.

The previous prime is 290445667. The next prime is 290445689. The reversal of 290445680 is 86544092.

290445680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290445689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5735 + ... + 24774.

It is an arithmetic number, because the mean of its divisors is an integer number (10214748).

Almost surely, 2290445680 is an apocalyptic number.

290445680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290445680 is an abundant number, since it is smaller than the sum of its proper divisors (526734160).

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

290445680 is a wasteful number, since it uses less digits than its factorization.

290445680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30546 (or 30540 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 290445680 is about 17042.4669575740. The cubic root of 290445680 is about 662.2495020684.

It can be divided in two parts, 2904 and 45680, that added together give a palindrome (48584).

The spelling of 290445680 in words is "two hundred ninety million, four hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 30509 61018 122036 152545 213563 244072 305090 427126 488144 518653 610180 854252 1037306 1067815 1220360 1708504 2074612 2135630 2440720 2593265 3417008 3630571 4149224 4271260 5186530 7261142 8298448 8542520 10373060 14522284 17085040 18152855 20746120 29044568 36305710 41492240 58089136 72611420 145222840 290445680