Search a number
-
+
2395140 = 22351119191
BaseRepresentation
bin1001001000110000000100
311111200111220
421020300010
51103121030
6123200340
726233626
oct11106004
94450456
102395140
111396560
129760b0
1365b257
14464c16
15324a10
hex248c04

2395140 has 96 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 547200.

The previous prime is 2395117. The next prime is 2395157. The reversal of 2395140 is 415932.

It is a self number, because there is not a number n which added to its sum of digits gives 2395140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12445 + ... + 12635.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

22395140 is an apocalyptic number.

2395140 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 2395140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2395140 is an abundant number, since it is smaller than the sum of its proper divisors (5346300).

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

2395140 is a wasteful number, since it uses less digits than its factorization.

2395140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2395140 is about 1547.6239853401. The cubic root of 2395140 is about 133.7961554974.

The spelling of 2395140 in words is "two million, three hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 191 209 220 228 285 330 380 382 418 570 573 627 660 764 836 955 1045 1140 1146 1254 1910 2090 2101 2292 2508 2865 3135 3629 3820 4180 4202 5730 6270 6303 7258 8404 10505 10887 11460 12540 12606 14516 18145 21010 21774 25212 31515 36290 39919 42020 43548 54435 63030 72580 79838 108870 119757 126060 159676 199595 217740 239514 399190 479028 598785 798380 1197570 2395140