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2468040 = 2335131157
BaseRepresentation
bin1001011010100011001000
311122101111220
421122203020
51112434130
6124522040
726656311
oct11324310
94571456
102468040
111436303
129b0320
136854a3
14483608
1533b410
hex25a8c8

2468040 has 64 divisors (see below), whose sum is σ = 7508160. Its totient is φ = 648960.

The previous prime is 2468027. The next prime is 2468047. The reversal of 2468040 is 408642.

It is a Cunningham number, because it is equal to 15712-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2468040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468047) 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, 15642 + ... + 15798.

It is an arithmetic number, because the mean of its divisors is an integer number (117315).

22468040 is an apocalyptic number.

2468040 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 2468040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754080).

2468040 is an abundant number, since it is smaller than the sum of its proper divisors (5040120).

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

2468040 is a wasteful number, since it uses less digits than its factorization.

2468040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2468040 is about 1570.9996817313. Note that the first 3 decimals coincide. The cubic root of 2468040 is about 135.1400467116.

The spelling of 2468040 in words is "two million, four hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 157 262 314 393 471 524 628 655 785 786 942 1048 1256 1310 1570 1572 1884 1965 2355 2620 3140 3144 3768 3930 4710 5240 6280 7860 9420 15720 18840 20567 41134 61701 82268 102835 123402 164536 205670 246804 308505 411340 493608 617010 822680 1234020 2468040