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2104960 = 275111323
BaseRepresentation
bin1000000001111010000000
310221221110111
420001322000
51014324320
6113041104
723614624
oct10017200
93857414
102104960
111208540
12856194
13589150
143cb184
152b8a5a
hex201e80

2104960 has 128 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 675840.

The previous prime is 2104951. The next prime is 2104961. The reversal of 2104960 is 694012.

2104960 = T111 + T112 + ... + T240.

2104960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2104961) 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, 91509 + ... + 91531.

It is an arithmetic number, because the mean of its divisors is an integer number (48195).

22104960 is an apocalyptic number.

2104960 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 2104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2104960 is an abundant number, since it is smaller than the sum of its proper divisors (4064000).

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

2104960 is a wasteful number, since it uses less digits than its factorization.

2104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2104960 is about 1450.8480278789. The cubic root of 2104960 is about 128.1586574278.

Adding to 2104960 its reverse (694012), we get a palindrome (2798972).

The spelling of 2104960 in words is "two million, one hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 23 26 32 40 44 46 52 55 64 65 80 88 92 104 110 115 128 130 143 160 176 184 208 220 230 253 260 286 299 320 352 368 416 440 460 506 520 572 598 640 704 715 736 832 880 920 1012 1040 1144 1196 1265 1408 1430 1472 1495 1664 1760 1840 2024 2080 2288 2392 2530 2860 2944 2990 3289 3520 3680 4048 4160 4576 4784 5060 5720 5980 6578 7040 7360 8096 8320 9152 9568 10120 11440 11960 13156 14720 16192 16445 18304 19136 20240 22880 23920 26312 32384 32890 38272 40480 45760 47840 52624 65780 80960 91520 95680 105248 131560 161920 191360 210496 263120 420992 526240 1052480 2104960