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2473240 = 235711273
BaseRepresentation
bin1001011011110100011000
311122122122111
421123310120
51113120430
6125002104
730010420
oct11336430
94578574
102473240
11143a200
129b3334
13687973
14485480
1533cc2a
hex25bd18

2473240 has 96 divisors (see below), whose sum is σ = 7086240. Its totient is φ = 760320.

The previous prime is 2473217. The next prime is 2473241. The reversal of 2473240 is 423742.

2473240 is nontrivially palindromic in base 3.

2473240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24732402 = 12233832195200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2473241) by changing a digit.

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, 33844 + ... + 33916.

It is an arithmetic number, because the mean of its divisors is an integer number (73815).

22473240 is an apocalyptic number.

2473240 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 2473240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543120).

2473240 is an abundant number, since it is smaller than the sum of its proper divisors (4613000).

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

2473240 is a wasteful number, since it uses less digits than its factorization.

2473240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 2473240 is about 1572.6538080582. The cubic root of 2473240 is about 135.2348905668.

Adding to 2473240 its reverse (423742), we get a palindrome (2896982).

The spelling of 2473240 in words is "two million, four hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 73 77 88 110 121 140 146 154 220 242 280 292 308 365 385 440 484 511 584 605 616 730 770 803 847 968 1022 1210 1460 1540 1606 1694 2044 2420 2555 2920 3080 3212 3388 4015 4088 4235 4840 5110 5621 6424 6776 8030 8470 8833 10220 11242 16060 16940 17666 20440 22484 28105 32120 33880 35332 44165 44968 56210 61831 70664 88330 112420 123662 176660 224840 247324 309155 353320 494648 618310 1236620 2473240