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764008140 = 223571819067
BaseRepresentation
bin101101100010011…
…101011011001100
31222020121122010210
4231202131123030
53031041230030
6203451202420
724634650660
oct5542353314
91866548123
10764008140
11362298695
12193a46410
13c239082c
147367a8a0
1547117bb0
hex2d89d6cc

764008140 has 48 divisors (see below), whose sum is σ = 2444827392. Its totient is φ = 174630336.

The previous prime is 764008123. The next prime is 764008177. The reversal of 764008140 is 41800467.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 764008098 and 764008107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909114 + ... + 909953.

It is an arithmetic number, because the mean of its divisors is an integer number (50933904).

Almost surely, 2764008140 is an apocalyptic number.

764008140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

764008140 is an abundant number, since it is smaller than the sum of its proper divisors (1680819252).

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

764008140 is a wasteful number, since it uses less digits than its factorization.

764008140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819086 (or 1819084 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 764008140 is about 27640.6971692105. The cubic root of 764008140 is about 914.1819916049.

The spelling of 764008140 in words is "seven hundred sixty-four million, eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1819067 3638134 5457201 7276268 9095335 10914402 12733469 18190670 21828804 25466938 27286005 36381340 38200407 50933876 54572010 63667345 76400814 109144020 127334690 152801628 191002035 254669380 382004070 764008140