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289299420 = 223255927241
BaseRepresentation
bin10001001111100…
…101101111011100
3202011100221012100
4101033211233130
51043030040140
644412405100
710112001354
oct2117455734
9664327170
10289299420
11139335a33
1280a76790
1347c223b7
142a5c9b64
151a5e8530
hex113e5bdc

289299420 has 72 divisors (see below), whose sum is σ = 892447920. Its totient is φ = 75836160.

The previous prime is 289299419. The next prime is 289299457. The reversal of 289299420 is 24992982.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001 + ... + 24240.

It is an arithmetic number, because the mean of its divisors is an integer number (12395110).

Almost surely, 2289299420 is an apocalyptic number.

289299420 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 289299420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446223960).

289299420 is an abundant number, since it is smaller than the sum of its proper divisors (603148500).

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

289299420 is a wasteful number, since it uses less digits than its factorization.

289299420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27315 (or 27310 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 289299420 is about 17008.8041907713. The cubic root of 289299420 is about 661.3771519926.

The spelling of 289299420 in words is "two hundred eighty-nine million, two hundred ninety-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 27241 54482 81723 108964 136205 163446 245169 272410 326892 408615 490338 544820 817230 980676 1225845 1607219 1634460 2451690 3214438 4821657 4903380 6428876 8036095 9643314 14464971 16072190 19286628 24108285 28929942 32144380 48216570 57859884 72324855 96433140 144649710 289299420