Search a number
-
+
1378460240 = 24517230753
BaseRepresentation
bin101001000101001…
…1010001001010000
310120001211000221222
41102022122021100
510310341211430
6344441104212
746105501343
oct12212321120
93501730858
101378460240
11648117643
12325788068
1318c779561
14d110645a
158103c9e5
hex5229a250

1378460240 has 20 divisors (see below), whose sum is σ = 3204920244. Its totient is φ = 551384064.

The previous prime is 1378460231. The next prime is 1378460267. The reversal of 1378460240 is 420648731.

It can be written as a sum of positive squares in 2 ways, for example, as 442345024 + 936115216 = 21032^2 + 30596^2 .

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1378460240.

It is a congruent number.

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, 8615297 + ... + 8615456.

Almost surely, 21378460240 is an apocalyptic number.

1378460240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378460240 is an abundant number, since it is smaller than the sum of its proper divisors (1826460004).

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

1378460240 is a wasteful number, since it uses less digits than its factorization.

1378460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230766 (or 17230760 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 1378460240 is about 37127.6209849217. The cubic root of 1378460240 is about 1112.9220523798.

The spelling of 1378460240 in words is "one billion, three hundred seventy-eight million, four hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 17230753 34461506 68923012 86153765 137846024 172307530 275692048 344615060 689230120 1378460240