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288972060 = 223513370477
BaseRepresentation
bin10001001110010…
…101110100011100
3202010202022010220
4101032111310130
51042434101220
644401401340
710106136066
oct2116256434
9663668126
10288972060
11139131a93
1280939250
1347b393b0
142a542736
151a581540
hex11395d1c

288972060 has 48 divisors (see below), whose sum is σ = 871364256. Its totient is φ = 71131392.

The previous prime is 288972043. The next prime is 288972071. The reversal of 288972060 is 60279882.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184459 + ... + 186018.

It is an arithmetic number, because the mean of its divisors is an integer number (18153422).

Almost surely, 2288972060 is an apocalyptic number.

288972060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288972060 is an abundant number, since it is smaller than the sum of its proper divisors (582392196).

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

288972060 is a wasteful number, since it uses less digits than its factorization.

288972060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370502 (or 370500 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 288972060 is about 16999.1782154315. The cubic root of 288972060 is about 661.1275949304.

The spelling of 288972060 in words is "two hundred eighty-eight million, nine hundred seventy-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 370477 740954 1111431 1481908 1852385 2222862 3704770 4445724 4816201 5557155 7409540 9632402 11114310 14448603 19264804 22228620 24081005 28897206 48162010 57794412 72243015 96324020 144486030 288972060