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288530940 = 223541532213
BaseRepresentation
bin10001001100101…
…010000111111100
3202002220220001010
4101030222013330
51042330442230
644344115220
710102321035
oct2114520774
9662826033
10288530940
11138960625
1280765b10
1347a13689
142a469a8c
151a4e59b0
hex1132a1fc

288530940 has 96 divisors (see below), whose sum is σ = 843587136. Its totient is φ = 73615360.

The previous prime is 288530939. The next prime is 288530959. The reversal of 288530940 is 49035882.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129274 + ... + 131486.

It is an arithmetic number, because the mean of its divisors is an integer number (8787366).

Almost surely, 2288530940 is an apocalyptic number.

288530940 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 288530940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421793568).

288530940 is an abundant number, since it is smaller than the sum of its proper divisors (555056196).

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

288530940 is a wasteful number, since it uses less digits than its factorization.

288530940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 288530940 is about 16986.1985152653. The cubic root of 288530940 is about 660.7910166853.

The spelling of 288530940 in words is "two hundred eighty-eight million, five hundred thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 53 60 82 106 123 159 164 205 212 246 265 318 410 492 530 615 636 795 820 1060 1230 1590 2173 2213 2460 3180 4346 4426 6519 6639 8692 8852 10865 11065 13038 13278 21730 22130 26076 26556 32595 33195 43460 44260 65190 66390 90733 117289 130380 132780 181466 234578 272199 351867 362932 453665 469156 544398 586445 703734 907330 1088796 1172890 1360995 1407468 1759335 1814660 2345780 2721990 3518670 4808849 5443980 7037340 9617698 14426547 19235396 24044245 28853094 48088490 57706188 72132735 96176980 144265470 288530940