Search a number
-
+
2715928020 = 223251321937127
BaseRepresentation
bin1010000111100001…
…1100010111010100
321000021111102211200
42201320130113110
521030234144040
61125255432500
7124206002331
oct24170342724
97007442750
102715928020
111174085a13
12639685730
133438a2600
141ba9bb988
1510d67e630
hexa1e1c5d4

2715928020 has 432 divisors, whose sum is σ = 9720023040. Its totient is φ = 611380224.

The previous prime is 2715928003. The next prime is 2715928049. The reversal of 2715928020 is 208295172.

It is a super-2 number, since 2×27159280202 = 14752530019642240800, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 21385197 + ... + 21385323.

Almost surely, 22715928020 is an apocalyptic number.

2715928020 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 2715928020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860011520).

2715928020 is an abundant number, since it is smaller than the sum of its proper divisors (7004095020).

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

2715928020 is a wasteful number, since it uses less digits than its factorization.

2715928020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2715928020 is about 52114.5662938875. The cubic root of 2715928020 is about 1395.2094802387.

The spelling of 2715928020 in words is "two billion, seven hundred fifteen million, nine hundred twenty-eight thousand, twenty".