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2104340560 = 24575716581
BaseRepresentation
bin111110101101101…
…1011000001010000
312102122200120120021
41331123123001100
513302202344220
6544451153224
7103101412450
oct17533330120
95378616507
102104340560
1198a933233
124a88a5814
13276c7a73a
1415d699d60
15c4b234aa
hex7d6db050

2104340560 has 80 divisors (see below), whose sum is σ = 5602177152. Its totient is φ = 720115200.

The previous prime is 2104340549. The next prime is 2104340561. The reversal of 2104340560 is 650434012.

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

It is a super-2 number, since 2×21043405602 = 8856498384922227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104340561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316470 + ... + 323050.

Almost surely, 22104340560 is an apocalyptic number.

2104340560 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 2104340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801088576).

2104340560 is an abundant number, since it is smaller than the sum of its proper divisors (3497836592).

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

2104340560 is a wasteful number, since it uses less digits than its factorization.

2104340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2104340560 is about 45873.0918949225. The cubic root of 2104340560 is about 1281.4608483933.

Adding to 2104340560 its reverse (650434012), we get a palindrome (2754774572).

The spelling of 2104340560 in words is "two billion, one hundred four million, three hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 571 1142 2284 2855 3997 4568 5710 6581 7994 9136 11420 13162 15988 19985 22840 26324 31976 32905 39970 45680 46067 52648 63952 65810 79940 92134 105296 131620 159880 184268 230335 263240 319760 368536 460670 526480 737072 921340 1842680 3685360 3757751 7515502 15031004 18788755 26304257 30062008 37577510 52608514 60124016 75155020 105217028 131521285 150310040 210434056 263042570 300620080 420868112 526085140 1052170280 2104340560