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256706620 = 225971131171
BaseRepresentation
bin11110100110100…
…00100000111100
3122220001001021121
433103100200330
51011204102440
641250040324
76234653542
oct1723204074
9586031247
10256706620
111219a4535
1271b790a4
1341250211
1426143d92
151780b34a
hexf4d083c

256706620 has 48 divisors (see below), whose sum is σ = 549930528. Its totient is φ = 100638720.

The previous prime is 256706573. The next prime is 256706669. The reversal of 256706620 is 26607652.

It is a happy number.

256706620 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

256706620 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218635 + ... + 219805.

It is an arithmetic number, because the mean of its divisors is an integer number (11456886).

Almost surely, 2256706620 is an apocalyptic number.

256706620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256706620 is an abundant number, since it is smaller than the sum of its proper divisors (293223908).

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

256706620 is a wasteful number, since it uses less digits than its factorization.

256706620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 256706620 is about 16022.0666582061. The cubic root of 256706620 is about 635.5440972817.

The spelling of 256706620 in words is "two hundred fifty-six million, seven hundred six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 97 113 194 226 388 452 485 565 970 1130 1171 1940 2260 2342 4684 5855 10961 11710 21922 23420 43844 54805 109610 113587 132323 219220 227174 264646 454348 529292 567935 661615 1135870 1323230 2271740 2646460 12835331 25670662 51341324 64176655 128353310 256706620