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1306778640 = 24355444911
BaseRepresentation
bin100110111100011…
…1101110000010000
310101001221020021220
41031320331300100
510134013404030
6333400445040
744245302156
oct11570756020
93331836256
101306778640
11610708152
12305779780
1317a96c4cb
14c57a73d6
1579acda10
hex4de3dc10

1306778640 has 40 divisors (see below), whose sum is σ = 4051014528. Its totient is φ = 348474240.

The previous prime is 1306778633. The next prime is 1306778651. The reversal of 1306778640 is 468776031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1306778592 and 1306778601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2722216 + ... + 2722695.

Almost surely, 21306778640 is an apocalyptic number.

1306778640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306778640 is an abundant number, since it is smaller than the sum of its proper divisors (2744235888).

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

1306778640 is a wasteful number, since it uses less digits than its factorization.

1306778640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444927 (or 5444921 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 1306778640 is about 36149.3933559057. The cubic root of 1306778640 is about 1093.2865594042.

The spelling of 1306778640 in words is "one billion, three hundred six million, seven hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5444911 10889822 16334733 21779644 27224555 32669466 43559288 54449110 65338932 81673665 87118576 108898220 130677864 163347330 217796440 261355728 326694660 435592880 653389320 1306778640