Search a number
-
+
1912864140 = 22335111719997
BaseRepresentation
bin111001000000011…
…1111110110001100
311221022101120022000
41302000333312030
512404143123030
6513451152300
765255035245
oct16200776614
94838346260
101912864140
118a1842160
12454745690
132463b8c95
14142095ccc
15b2dee860
hex7203fd8c

1912864140 has 384 divisors, whose sum is σ = 7243084800. Its totient is φ = 413061120.

The previous prime is 1912864133. The next prime is 1912864183. The reversal of 1912864140 is 414682191.

1912864140 is a `hidden beast` number, since 1 + 9 + 1 + 2 + 8 + 641 + 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 = 1912864095 and 1912864104.

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, 1918122 + ... + 1919118.

It is an arithmetic number, because the mean of its divisors is an integer number (18862200).

Almost surely, 21912864140 is an apocalyptic number.

1912864140 is a gapful number since it is divisible by the number (10) 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 1912864140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621542400).

1912864140 is an abundant number, since it is smaller than the sum of its proper divisors (5330220660).

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

1912864140 is a wasteful number, since it uses less digits than its factorization.

1912864140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1912864140 is about 43736.3023128385. The cubic root of 1912864140 is about 1241.3513147374.

The spelling of 1912864140 in words is "one billion, nine hundred twelve million, eight hundred sixty-four thousand, one hundred forty".