Search a number
-
+
3105255120 = 24351119311997
BaseRepresentation
bin1011100100010110…
…0110111011010000
322000102002022012220
42321011212323100
522324421130440
61232044221040
7136644142632
oct27105467320
98012068186
103105255120
111353921150
12727b3a780
133a6447c86
142165a4a52
151329358d0
hexb9166ed0

3105255120 has 320 divisors, whose sum is σ = 11416412160. Its totient is φ = 689817600.

The previous prime is 3105255059. The next prime is 3105255143. The reversal of 3105255120 is 215525013.

It is a happy number.

3105255120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1553962 + ... + 1555958.

It is an arithmetic number, because the mean of its divisors is an integer number (35676288).

Almost surely, 23105255120 is an apocalyptic number.

3105255120 is a gapful number since it is divisible by the number (30) 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 3105255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708206080).

3105255120 is an abundant number, since it is smaller than the sum of its proper divisors (8311157040).

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

3105255120 is a wasteful number, since it uses less digits than its factorization.

3105255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 3105255120 is about 55724.8160158470. The cubic root of 3105255120 is about 1458.9231942503.

The spelling of 3105255120 in words is "three billion, one hundred five million, two hundred fifty-five thousand, one hundred twenty".