Search a number
-
+
1019689040 = 24512746113
BaseRepresentation
bin111100110001110…
…011100001010000
32122001201120101202
4330301303201100
54042020022130
6245103250332
734161133226
oct7461634120
92561646352
101019689040
11483651517
122455a99a8
13133341bc6
14995d4b16
155e7c0145
hex3cc73850

1019689040 has 20 divisors (see below), whose sum is σ = 2370777204. Its totient is φ = 407875584.

The previous prime is 1019689009. The next prime is 1019689049. The reversal of 1019689040 is 409869101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 623201296 + 396487744 = 24964^2 + 19912^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10196890402 = 2079531476592243200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1019688985 and 1019689003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019689049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6372977 + ... + 6373136.

Almost surely, 21019689040 is an apocalyptic number.

1019689040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1019689040 is an abundant number, since it is smaller than the sum of its proper divisors (1351088164).

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

1019689040 is a wasteful number, since it uses less digits than its factorization.

1019689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12746126 (or 12746120 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 1019689040 is about 31932.5702066088. The cubic root of 1019689040 is about 1006.5204052423.

The spelling of 1019689040 in words is "one billion, nineteen million, six hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12746113 25492226 50984452 63730565 101968904 127461130 203937808 254922260 509844520 1019689040