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2305140 = 2235103373
BaseRepresentation
bin1000110010110001110100
311100010001120
420302301310
51042231030
6121223540
725410345
oct10626164
94303046
102305140
111334982
12931bb0
136292b6
144400cc
15308010
hex232c74

2305140 has 48 divisors (see below), whose sum is σ = 6534528. Its totient is φ = 607104.

The previous prime is 2305133. The next prime is 2305153. The reversal of 2305140 is 415032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5994 + ... + 6366.

It is an arithmetic number, because the mean of its divisors is an integer number (136136).

22305140 is an apocalyptic number.

2305140 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 2305140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267264).

2305140 is an abundant number, since it is smaller than the sum of its proper divisors (4229388).

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

2305140 is a wasteful number, since it uses less digits than its factorization.

2305140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2305140 is about 1518.2687509134. The cubic root of 2305140 is about 132.0988699118.

The spelling of 2305140 in words is "two million, three hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 373 412 515 618 746 1030 1119 1236 1492 1545 1865 2060 2238 3090 3730 4476 5595 6180 7460 11190 22380 38419 76838 115257 153676 192095 230514 384190 461028 576285 768380 1152570 2305140