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264072620 = 22571886233
BaseRepresentation
bin11111011110101…
…10110110101100
3200101220021112102
433233112312230
51020100310440
642111554232
76354403010
oct1757266654
9611807472
10264072620
11126075739
127452b978
134292bbb6
1427100540
15182b3b15
hexfbd6dac

264072620 has 24 divisors (see below), whose sum is σ = 633774624. Its totient is φ = 90539136.

The previous prime is 264072581. The next prime is 264072623. The reversal of 264072620 is 26270462.

264072620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264072623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942977 + ... + 943256.

It is an arithmetic number, because the mean of its divisors is an integer number (26407276).

Almost surely, 2264072620 is an apocalyptic number.

264072620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264072620 is an abundant number, since it is smaller than the sum of its proper divisors (369702004).

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

264072620 is a wasteful number, since it uses less digits than its factorization.

264072620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886249 (or 1886247 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 264072620 is about 16250.3113816320. The cubic root of 264072620 is about 641.5656816023.

The spelling of 264072620 in words is "two hundred sixty-four million, seventy-two thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1886233 3772466 7544932 9431165 13203631 18862330 26407262 37724660 52814524 66018155 132036310 264072620