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2104412560 = 245113271859
BaseRepresentation
bin111110101101110…
…1100100110010000
312102122211020022221
41331123230212100
513302212200220
6544452510424
7103102132405
oct17533544620
95378736287
102104412560
1198a982338
124a891b414
13276ca4443
1415d6b82ac
15c4b399aa
hex7d6ec990

2104412560 has 80 divisors (see below), whose sum is σ = 4960039680. Its totient is φ = 830269440.

The previous prime is 2104412551. The next prime is 2104412573. The reversal of 2104412560 is 652144012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2449411 + ... + 2450269.

It is an arithmetic number, because the mean of its divisors is an integer number (62000496).

Almost surely, 22104412560 is an apocalyptic number.

2104412560 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 2104412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480019840).

2104412560 is an abundant number, since it is smaller than the sum of its proper divisors (2855627120).

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

2104412560 is a wasteful number, since it uses less digits than its factorization.

2104412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2104412560 is about 45873.8766619958. The cubic root of 2104412560 is about 1281.4754632851.

Adding to 2104412560 its reverse (652144012), we get a palindrome (2756556572).

The spelling of 2104412560 in words is "two billion, one hundred four million, four hundred twelve thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 271 452 542 565 859 904 1084 1130 1355 1718 1808 2168 2260 2710 3436 4295 4336 4520 5420 6872 8590 9040 10840 13744 17180 21680 30623 34360 61246 68720 97067 122492 153115 194134 232789 244984 306230 388268 465578 485335 489968 612460 776536 931156 970670 1163945 1224920 1553072 1862312 1941340 2327890 2449840 3724624 3882680 4655780 7765360 9311560 18623120 26305157 52610314 105220628 131525785 210441256 263051570 420882512 526103140 1052206280 2104412560