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290389140 = 2232510115973
BaseRepresentation
bin10001010011101…
…111110010010100
3202020102022000100
4101103233302110
51043314423030
644452014100
710124160366
oct2123576224
9666368010
10290389140
11139a0a728
1281301330
13482143c2
142a7d0d36
151a761360
hex114efc94

290389140 has 72 divisors (see below), whose sum is σ = 889624008. Its totient is φ = 76665600.

The previous prime is 290389123. The next prime is 290389159. The reversal of 290389140 is 41983092.

It can be written as a sum of positive squares in 4 ways, for example, as 132987024 + 157402116 = 11532^2 + 12546^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 290389095 and 290389104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10194 + ... + 26166.

It is an arithmetic number, because the mean of its divisors is an integer number (12355889).

Almost surely, 2290389140 is an apocalyptic number.

290389140 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 290389140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444812004).

290389140 is an abundant number, since it is smaller than the sum of its proper divisors (599234868).

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

290389140 is a wasteful number, since it uses less digits than its factorization.

290389140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16089 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 290389140 is about 17040.8080794310. The cubic root of 290389140 is about 662.2065267155.

The spelling of 290389140 in words is "two hundred ninety million, three hundred eighty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 15973 18180 31946 47919 63892 79865 95838 143757 159730 191676 239595 287514 319460 479190 575028 718785 958380 1437570 1613273 2875140 3226546 4839819 6453092 8066365 9679638 14519457 16132730 19359276 24199095 29038914 32265460 48398190 58077828 72597285 96796380 145194570 290389140