Search a number
-
+
2007085460 = 225379264787
BaseRepresentation
bin111011110100001…
…1011000110010100
312011212200111122112
41313220123012110
513102303213320
6531054450152
7100510642052
oct16750330624
95155614575
102007085460
1193aa47016
12480203958
1325ca88443
141507c11d2
15bb311ec5
hex77a1b194

2007085460 has 24 divisors (see below), whose sum is σ = 4226016480. Its totient is φ = 800712864.

The previous prime is 2007085459. The next prime is 2007085469. The reversal of 2007085460 is 645807002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007085469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124814 + ... + 139973.

It is an arithmetic number, because the mean of its divisors is an integer number (176084020).

Almost surely, 22007085460 is an apocalyptic number.

2007085460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007085460 is an abundant number, since it is smaller than the sum of its proper divisors (2218931020).

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

2007085460 is a wasteful number, since it uses less digits than its factorization.

2007085460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265175 (or 265173 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2007085460 is about 44800.5073631985. The cubic root of 2007085460 is about 1261.4071496910.

The spelling of 2007085460 in words is "two billion, seven million, eighty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 379 758 1516 1895 3790 7580 264787 529574 1059148 1323935 2647870 5295740 100354273 200708546 401417092 501771365 1003542730 2007085460