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767680040 = 235142313487
BaseRepresentation
bin101101110000011…
…101111000101000
31222111112012001002
4231300131320220
53033011230130
6204102014132
725011113141
oct5560357050
91874465032
10767680040
11364376416
12195117348
13c3077c5a
1473d54ac8
15475e0b45
hex2dc1de28

767680040 has 32 divisors (see below), whose sum is σ = 1728622080. Its totient is φ = 306833472.

The previous prime is 767680021. The next prime is 767680049. The reversal of 767680040 is 40086767.

767680040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 767679976 and 767680003.

It is not an unprimeable number, because it can be changed into a prime (767680049) 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, 50177 + ... + 63663.

It is an arithmetic number, because the mean of its divisors is an integer number (54019440).

Almost surely, 2767680040 is an apocalyptic number.

It is an amenable number.

767680040 is an abundant number, since it is smaller than the sum of its proper divisors (960942040).

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

767680040 is a wasteful number, since it uses less digits than its factorization.

767680040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14917 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 767680040 is about 27707.0395387165. The cubic root of 767680040 is about 915.6442018051.

The spelling of 767680040 in words is "seven hundred sixty-seven million, six hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1423 2846 5692 7115 11384 13487 14230 26974 28460 53948 56920 67435 107896 134870 269740 539480 19192001 38384002 76768004 95960005 153536008 191920010 383840020 767680040