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2468620 = 2257211229
BaseRepresentation
bin1001011010101100001100
311122102022101
421122230030
51112443440
6124524444
726661100
oct11325414
94572271
102468620
111436790
129b0724
1368582b
14483900
1533b69a
hex25ab0c

2468620 has 72 divisors (see below), whose sum is σ = 6607440. Its totient is φ = 766080.

The previous prime is 2468591. The next prime is 2468629. The reversal of 2468620 is 268642.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10666 + ... + 10894.

It is an arithmetic number, because the mean of its divisors is an integer number (91770).

22468620 is an apocalyptic number.

2468620 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 2468620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303720).

2468620 is an abundant number, since it is smaller than the sum of its proper divisors (4138820).

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

2468620 is a wasteful number, since it uses less digits than its factorization.

2468620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2468620 is about 1571.1842667237. The cubic root of 2468620 is about 135.1506320462.

It can be divided in two parts, 24 and 68620, that added together give a square (68644 = 2622).

The spelling of 2468620 in words is "two million, four hundred sixty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 229 245 308 385 458 490 539 770 916 980 1078 1145 1540 1603 2156 2290 2519 2695 3206 4580 5038 5390 6412 8015 10076 10780 11221 12595 16030 17633 22442 25190 32060 35266 44884 50380 56105 70532 88165 112210 123431 176330 224420 246862 352660 493724 617155 1234310 2468620