Search a number
-
+
289137780 = 223251606321
BaseRepresentation
bin10001001110111…
…110010001110100
3202011001201110200
4101032332101310
51043004402110
644405120500
710110426201
oct2116762164
9664051420
10289137780
11139235548
12809b9130
1347b96959
142a586ca8
151a5b56c0
hex113be474

289137780 has 36 divisors (see below), whose sum is σ = 877051812. Its totient is φ = 77103360.

The previous prime is 289137767. The next prime is 289137787. The reversal of 289137780 is 87731982.

It can be written as a sum of positive squares in 2 ways, for example, as 104775696 + 184362084 = 10236^2 + 13578^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289137787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802981 + ... + 803340.

Almost surely, 2289137780 is an apocalyptic number.

289137780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289137780 is an abundant number, since it is smaller than the sum of its proper divisors (587914032).

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

289137780 is a wasteful number, since it uses less digits than its factorization.

289137780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606336 (or 1606331 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 289137780 is about 17004.0518700691. The cubic root of 289137780 is about 661.2539521611.

The spelling of 289137780 in words is "two hundred eighty-nine million, one hundred thirty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1606321 3212642 4818963 6425284 8031605 9637926 14456889 16063210 19275852 24094815 28913778 32126420 48189630 57827556 72284445 96379260 144568890 289137780