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289884420 = 2235578521
BaseRepresentation
bin10001010001110…
…100100100000100
3202012110122200000
4101101310210010
51043202300140
644433121300
710116656040
oct2121644404
9665418600
10289884420
111396a5501
12810b9230
1348098757
142a6dd020
151a6b1a30
hex11474904

289884420 has 144 divisors (see below), whose sum is σ = 1042274688. Its totient is φ = 66251520.

The previous prime is 289884337. The next prime is 289884449. The reversal of 289884420 is 24488982.

It is a happy number.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29760 + ... + 38280.

Almost surely, 2289884420 is an apocalyptic number.

289884420 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 289884420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521137344).

289884420 is an abundant number, since it is smaller than the sum of its proper divisors (752390268).

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

289884420 is a wasteful number, since it uses less digits than its factorization.

289884420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 289884420 is about 17025.9924820846. The cubic root of 289884420 is about 661.8226479149.

The spelling of 289884420 in words is "two hundred eighty-nine million, eight hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 8521 11340 17010 17042 25563 34020 34084 42605 51126 59647 76689 85210 102252 119294 127815 153378 170420 178941 230067 238588 255630 298235 306756 357882 383445 460134 511260 536823 596470 690201 715764 766890 894705 920268 1073646 1150335 1192940 1380402 1533780 1610469 1789410 2070603 2147292 2300670 2684115 2760804 3220938 3451005 3578820 4141206 4601340 4831407 5368230 6441876 6902010 8052345 8282412 9662814 10353015 10736460 13804020 14494221 16104690 19325628 20706030 24157035 28988442 32209380 41412060 48314070 57976884 72471105 96628140 144942210 289884420