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2134081560 = 2335133736973
BaseRepresentation
bin111111100110011…
…1000000000011000
312111201122120112210
41333030320000120
513332311102220
6551432435120
7103612252062
oct17714700030
95451576483
102134081560
119a56a7076
124b6848aa0
13280191870
141635dc732
15c754a6e0
hex7f338018

2134081560 has 128 divisors (see below), whose sum is σ = 7081260480. Its totient is φ = 511100928.

The previous prime is 2134081559. The next prime is 2134081591. The reversal of 2134081560 is 651804312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

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, 39234 + ... + 76206.

Almost surely, 22134081560 is an apocalyptic number.

2134081560 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 2134081560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540630240).

2134081560 is an abundant number, since it is smaller than the sum of its proper divisors (4947178920).

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

2134081560 is a wasteful number, since it uses less digits than its factorization.

2134081560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37037 (or 37033 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2134081560 is about 46196.1206163461. The cubic root of 2134081560 is about 1287.4696629041.

Adding to 2134081560 its reverse (651804312), we get a palindrome (2785885872).

The spelling of 2134081560 in words is "two billion, one hundred thirty-four million, eighty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 37 39 40 52 60 65 74 78 104 111 120 130 148 156 185 195 222 260 296 312 370 390 444 481 520 555 740 780 888 962 1110 1443 1480 1560 1924 2220 2405 2886 3848 4440 4810 5772 7215 9620 11544 14430 19240 28860 36973 57720 73946 110919 147892 184865 221838 295784 369730 443676 480649 554595 739460 887352 961298 1109190 1368001 1441947 1478920 1922596 2218380 2403245 2736002 2883894 3845192 4104003 4436760 4806490 5472004 5767788 6840005 7209735 8208006 9612980 10944008 11535576 13680010 14419470 16416012 17784013 19225960 20520015 27360020 28838940 32832024 35568026 41040030 53352039 54720040 57677880 71136052 82080060 88920065 106704078 142272104 164160120 177840130 213408156 266760195 355680260 426816312 533520390 711360520 1067040780 2134081560