Search a number
-
+
2006862840 = 23325191811621
BaseRepresentation
bin111011110011110…
…0100101111111000
312011212021012021100
41313213210233320
513102224102330
6531050011400
7100506024033
oct16747445770
95155235240
102006862840
1193a904834
12480116b60
1325ca0b008
1415076401a
15bb2bb060
hex779e4bf8

2006862840 has 192 divisors, whose sum is σ = 6907773600. Its totient is φ = 503884800.

The previous prime is 2006862811. The next prime is 2006862863. The reversal of 2006862840 is 482686002.

2006862840 is a `hidden beast` number, since 20 + 0 + 6 + 8 + 628 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2006862795 and 2006862804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1237230 + ... + 1238850.

Almost surely, 22006862840 is an apocalyptic number.

2006862840 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 2006862840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453886800).

2006862840 is an abundant number, since it is smaller than the sum of its proper divisors (4900910760).

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

2006862840 is a wasteful number, since it uses less digits than its factorization.

2006862840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2006862840 is about 44798.0227242230. The cubic root of 2006862840 is about 1261.3605107796.

The spelling of 2006862840 in words is "two billion, six million, eight hundred sixty-two thousand, eight hundred forty".