Search a number
-
+
3027814020 = 223757112931
BaseRepresentation
bin1011010001111000…
…1100011010000100
321211000100220000000
42310132030122010
522200110022040
61220240321300
7135013665060
oct26436143204
97730326000
103027814020
111314138540
12706013230
133933a253a
1420a1a6aa0
1512ac3a130
hexb478c684

3027814020 has 768 divisors, whose sum is σ = 12695961600. Its totient is φ = 587865600.

The previous prime is 3027814003. The next prime is 3027814037. The reversal of 3027814020 is 204187203.

It is an interprime number because it is at equal distance from previous prime (3027814003) and next prime (3027814037).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 97671405 + ... + 97671435.

It is an arithmetic number, because the mean of its divisors is an integer number (16531200).

Almost surely, 23027814020 is an apocalyptic number.

3027814020 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 3027814020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347980800).

3027814020 is an abundant number, since it is smaller than the sum of its proper divisors (9668147580).

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

3027814020 is a wasteful number, since it uses less digits than its factorization.

3027814020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3027814020 is about 55025.5760533227. The cubic root of 3027814020 is about 1446.6930614744.

The spelling of 3027814020 in words is "three billion, twenty-seven million, eight hundred fourteen thousand, twenty".