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1306792240 = 245131256531
BaseRepresentation
bin100110111100100…
…0001000100110000
310101001221220221121
41031321001010300
510134014322430
6333401032024
744245356625
oct11571010460
93331856847
101306792240
11610717396
12305785614
1317a975760
14c57ac34c
1579ad2a7a
hex4de41130

1306792240 has 40 divisors (see below), whose sum is σ = 3272009328. Its totient is φ = 482507520.

The previous prime is 1306792217. The next prime is 1306792243. The reversal of 1306792240 is 422976031.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1306792196 and 1306792205.

It is not an unprimeable number, because it can be changed into a prime (1306792243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627226 + ... + 629305.

Almost surely, 21306792240 is an apocalyptic number.

1306792240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306792240 is an abundant number, since it is smaller than the sum of its proper divisors (1965217088).

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

1306792240 is a wasteful number, since it uses less digits than its factorization.

1306792240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256557 (or 1256551 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 1306792240 is about 36149.5814636906. The cubic root of 1306792240 is about 1093.2903521011.

The spelling of 1306792240 in words is "one billion, three hundred six million, seven hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1256531 2513062 5026124 6282655 10052248 12565310 16334903 20104496 25130620 32669806 50261240 65339612 81674515 100522480 130679224 163349030 261358448 326698060 653396120 1306792240