Search a number
-
+
2420460 = 22325717113
BaseRepresentation
bin1001001110111011101100
311112222020200
421032323230
51104423320
6123513500
726400510
oct11167354
94488220
102420460
111403589
12988890
13669933
14470140
1532c290
hex24eeec

2420460 has 144 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 516096.

The previous prime is 2420459. The next prime is 2420471. The reversal of 2420460 is 640242.

2420460 = 602 + 612 + ... + 1952.

2420460 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24204602 = 11717253223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21364 + ... + 21476.

It is an arithmetic number, because the mean of its divisors is an integer number (62244).

22420460 is an apocalyptic number.

2420460 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 2420460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

2420460 is an abundant number, since it is smaller than the sum of its proper divisors (6542676).

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

2420460 is a wasteful number, since it uses less digits than its factorization.

2420460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2420460 is about 1555.7827611849. The cubic root of 2420460 is about 134.2659750244.

The spelling of 2420460 in words is "two million, four hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 113 119 126 140 153 170 180 204 210 226 238 252 255 306 315 339 340 357 420 452 476 510 565 595 612 630 678 714 765 791 1017 1020 1071 1130 1190 1260 1356 1428 1530 1582 1695 1785 1921 2034 2142 2260 2373 2380 3060 3164 3390 3570 3842 3955 4068 4284 4746 5085 5355 5763 6780 7119 7140 7684 7910 9492 9605 10170 10710 11526 11865 13447 14238 15820 17289 19210 20340 21420 23052 23730 26894 28476 28815 34578 35595 38420 40341 47460 53788 57630 67235 69156 71190 80682 86445 115260 121023 134470 142380 161364 172890 201705 242046 268940 345780 403410 484092 605115 806820 1210230 2420460