Search a number
-
+
1940054004 = 223473761379
BaseRepresentation
bin111001110100010…
…1101111111110100
312000012112221210000
41303220231333310
512433123212004
6520302031300
766035121060
oct16350557764
95005487700
101940054004
11906123319
12461878530
1324bc18b65
14145932aa0
15b54c0c39
hex73a2dff4

1940054004 has 240 divisors, whose sum is σ = 6066417280. Its totient is φ = 529079040.

The previous prime is 1940053993. The next prime is 1940054023. The reversal of 1940054004 is 4004500491.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5118687 + ... + 5119065.

Almost surely, 21940054004 is an apocalyptic number.

1940054004 is a gapful number since it is divisible by the number (14) 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 1940054004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033208640).

1940054004 is an abundant number, since it is smaller than the sum of its proper divisors (4126363276).

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

1940054004 is a wasteful number, since it uses less digits than its factorization.

1940054004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1940054004 is about 44046.0441356542. The cubic root of 1940054004 is about 1247.2052771293.

Adding to 1940054004 its reverse (4004500491), we get a palindrome (5944554495).

The spelling of 1940054004 in words is "one billion, nine hundred forty million, fifty-four thousand, four".