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256734140 = 225136911429
BaseRepresentation
bin11110100110101…
…11001110111100
3122220002110000212
433103113032330
51011210443030
641250411552
76235130015
oct1723271674
9586073025
10256734140
11121a13183
1271b90bb8
134125c8c0
142615000c
1517814595
hexf4d73bc

256734140 has 48 divisors (see below), whose sum is σ = 581861280. Its totient is φ = 94590720.

The previous prime is 256734113. The next prime is 256734199. The reversal of 256734140 is 41437652.

It is a junction number, because it is equal to n+sod(n) for n = 256734097 and 256734106.

It is a congruent number.

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, 178946 + ... + 180374.

It is an arithmetic number, because the mean of its divisors is an integer number (12122110).

Almost surely, 2256734140 is an apocalyptic number.

256734140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256734140 is an abundant number, since it is smaller than the sum of its proper divisors (325127140).

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

256734140 is a wasteful number, since it uses less digits than its factorization.

256734140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 256734140 is about 16022.9254507409. The cubic root of 256734140 is about 635.5668074460.

The spelling of 256734140 in words is "two hundred fifty-six million, seven hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 691 1382 1429 2764 2858 3455 5716 6910 7145 8983 13820 14290 17966 18577 28580 35932 37154 44915 74308 89830 92885 179660 185770 371540 987439 1974878 3949756 4937195 9874390 12836707 19748780 25673414 51346828 64183535 128367070 256734140