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1940138240 = 2851515733
BaseRepresentation
bin111001110100100…
…0010100100000000
312000012201020022212
41303221002210000
512433133410430
6520303521252
766035621465
oct16351024400
95005636285
101940138240
11906180637
124618b9228
1324bc482c1
1414595566c
15b54dab95
hex73a42900

1940138240 has 36 divisors (see below), whose sum is σ = 4647240444. Its totient is φ = 776054784.

The previous prime is 1940138237. The next prime is 1940138267. The reversal of 1940138240 is 428310491.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 351637504 + 1588500736 = 18752^2 + 39856^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1940138197 and 1940138206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 756587 + ... + 759146.

Almost surely, 21940138240 is an apocalyptic number.

1940138240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1940138240 is an abundant number, since it is smaller than the sum of its proper divisors (2707102204).

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

1940138240 is an equidigital number, since it uses as much as digits as its factorization.

1940138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515754 (or 1515740 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1940138240 is about 44047.0003518968. Note that the first 3 decimals coincide. The cubic root of 1940138240 is about 1247.2233278404.

The spelling of 1940138240 in words is "one billion, nine hundred forty million, one hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1515733 3031466 6062932 7578665 12125864 15157330 24251728 30314660 48503456 60629320 97006912 121258640 194013824 242517280 388027648 485034560 970069120 1940138240