Search a number
-
+
2480016 = 243711261
BaseRepresentation
bin1001011101011110010000
311122222221110
421131132100
51113330031
6125053320
730036240
oct11353620
94588843
102480016
111444300
129b7240
1368aa86
14487b20
1533ec46
hex25d790

2480016 has 120 divisors (see below), whose sum is σ = 8180032. Its totient is φ = 633600.

The previous prime is 2480003. The next prime is 2480053. The reversal of 2480016 is 6100842.

2480016 is nontrivially palindromic in base 13.

2480016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2479974 and 2480001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40626 + ... + 40686.

22480016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2480016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090016).

2480016 is an abundant number, since it is smaller than the sum of its proper divisors (5700016).

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

2480016 is a wasteful number, since it uses less digits than its factorization.

2480016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2480016 is about 1574.8066547992. The cubic root of 2480016 is about 135.3582801340.

Adding to 2480016 its reverse (6100842), we get a palindrome (8580858).

The spelling of 2480016 in words is "two million, four hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 61 66 77 84 88 112 121 122 132 154 168 176 183 231 242 244 264 308 336 363 366 427 462 484 488 528 616 671 726 732 847 854 924 968 976 1232 1281 1342 1452 1464 1694 1708 1848 1936 2013 2541 2562 2684 2904 2928 3388 3416 3696 4026 4697 5082 5124 5368 5808 6776 6832 7381 8052 9394 10164 10248 10736 13552 14091 14762 16104 18788 20328 20496 22143 28182 29524 32208 37576 40656 44286 51667 56364 59048 75152 88572 103334 112728 118096 155001 177144 206668 225456 310002 354288 413336 620004 826672 1240008 2480016