Search a number
-
+
3102487920 = 24355723257
BaseRepresentation
bin1011100011101100…
…0011010101110000
322000012212201100000
42320323003111300
522323214103140
61231505030000
7136611466200
oct27073032560
98005781300
103102487920
111352301104
12727025300
133a59b958c
14216084400
1513258aa30
hexb8ec3570

3102487920 has 360 divisors, whose sum is σ = 12573039024. Its totient is φ = 708922368.

The previous prime is 3102487909. The next prime is 3102487939. The reversal of 3102487920 is 297842013.

3102487920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 950932 + ... + 954188.

Almost surely, 23102487920 is an apocalyptic number.

3102487920 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 3102487920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286519512).

3102487920 is an abundant number, since it is smaller than the sum of its proper divisors (9470551104).

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

3102487920 is a wasteful number, since it uses less digits than its factorization.

3102487920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3102487920 is about 55699.9813285427. The cubic root of 3102487920 is about 1458.4896998556.

The spelling of 3102487920 in words is "three billion, one hundred two million, four hundred eighty-seven thousand, nine hundred twenty".