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2000460 = 2235711433
BaseRepresentation
bin111101000011001001100
310202122010010
413220121030
51003003320
6110513220
723001150
oct7503114
93678103
102000460
111146a80
12805810
13550707
143a1060
15297ae0
hex1e864c

2000460 has 96 divisors (see below), whose sum is σ = 6999552. Its totient is φ = 414720.

The previous prime is 2000447. The next prime is 2000497. The reversal of 2000460 is 640002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4404 + ... + 4836.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

22000460 is an apocalyptic number.

2000460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2000460 is the 1155-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776).

2000460 is an abundant number, since it is smaller than the sum of its proper divisors (4999092).

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

2000460 is a wasteful number, since it uses less digits than its factorization.

2000460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2000460 is about 1414.3761875824. The cubic root of 2000460 is about 126.0017636437.

Adding to 2000460 its reverse (640002), we get a palindrome (2640462).

The spelling of 2000460 in words is "two million, four hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 433 462 660 770 866 924 1155 1299 1540 1732 2165 2310 2598 3031 4330 4620 4763 5196 6062 6495 8660 9093 9526 12124 12990 14289 15155 18186 19052 23815 25980 28578 30310 33341 36372 45465 47630 57156 60620 66682 71445 90930 95260 100023 133364 142890 166705 181860 200046 285780 333410 400092 500115 666820 1000230 2000460