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2450140 = 2257113743
BaseRepresentation
bin1001010110001011011100
311121110221221
421112023130
51111401030
6124303124
726553160
oct11261334
94543857
102450140
111423910
129a1aa4
1367a2b4
1447aca0
15335e7a
hex2562dc

2450140 has 96 divisors (see below), whose sum is σ = 6741504. Its totient is φ = 725760.

The previous prime is 2450131. The next prime is 2450141. The reversal of 2450140 is 410542.

2450140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450141) 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 31 ways as a sum of consecutive naturals, for example, 56959 + ... + 57001.

It is an arithmetic number, because the mean of its divisors is an integer number (70224).

22450140 is an apocalyptic number.

2450140 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 2450140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370752).

2450140 is an abundant number, since it is smaller than the sum of its proper divisors (4291364).

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

2450140 is a wasteful number, since it uses less digits than its factorization.

2450140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2450140 is about 1565.2923049705. The cubic root of 2450140 is about 134.8125427489.

Adding to 2450140 its reverse (410542), we get a palindrome (2860682).

It can be divided in two parts, 2450 and 140, that multiplied together give a cube (343000 = 703).

The spelling of 2450140 in words is "two million, four hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 43 44 55 70 74 77 86 110 140 148 154 172 185 215 220 259 301 308 370 385 407 430 473 518 602 740 770 814 860 946 1036 1204 1295 1505 1540 1591 1628 1892 2035 2365 2590 2849 3010 3182 3311 4070 4730 5180 5698 6020 6364 6622 7955 8140 9460 11137 11396 13244 14245 15910 16555 17501 22274 28490 31820 33110 35002 44548 55685 56980 66220 70004 87505 111370 122507 175010 222740 245014 350020 490028 612535 1225070 2450140