Search a number
-
+
3039901920 = 2533511175371
BaseRepresentation
bin1011010100110001…
…0011100011100000
321211212010000111000
42311030103203200
522211203330140
61221351352000
7135221511546
oct26514234340
97755100430
103039901920
11131aa44340
1270a082600
13395a45543
1420ba31d96
1512bd26a30
hexb53138e0

3039901920 has 768 divisors, whose sum is σ = 12697896960. Its totient is φ = 670924800.

The previous prime is 3039901901. The next prime is 3039902051. The reversal of 3039901920 is 291099303.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 42815485 + ... + 42815555.

It is an arithmetic number, because the mean of its divisors is an integer number (16533720).

Almost surely, 23039901920 is an apocalyptic number.

3039901920 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 3039901920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348948480).

3039901920 is an abundant number, since it is smaller than the sum of its proper divisors (9657995040).

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

3039901920 is a wasteful number, since it uses less digits than its factorization.

3039901920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 3039901920 is about 55135.3055673042. The cubic root of 3039901920 is about 1448.6157093808.

The spelling of 3039901920 in words is "three billion, thirty-nine million, nine hundred one thousand, nine hundred twenty".