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2068360 = 23578389
BaseRepresentation
bin111111000111110001000
310220002020221
413320332020
51012141420
6112155424
723403130
oct7707610
93802227
102068360
111192a98
12838b74
135755a8
143bbac0
152accaa
hex1f8f88

2068360 has 64 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 692736.

The previous prime is 2068349. The next prime is 2068361. The reversal of 2068360 is 638602.

It is a super-2 number, since 2×20683602 = 8556226179200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2068361) 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, 23196 + ... + 23284.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

22068360 is an apocalyptic number.

2068360 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 2068360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2068360 is an abundant number, since it is smaller than the sum of its proper divisors (3374840).

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

2068360 is a wasteful number, since it uses less digits than its factorization.

2068360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2068360 is about 1438.1794046641. The cubic root of 2068360 is about 127.4115239057.

The spelling of 2068360 in words is "two million, sixty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 89 140 166 178 280 332 356 415 445 581 623 664 712 830 890 1162 1246 1660 1780 2324 2492 2905 3115 3320 3560 4648 4984 5810 6230 7387 11620 12460 14774 23240 24920 29548 36935 51709 59096 73870 103418 147740 206836 258545 295480 413672 517090 1034180 2068360