Search a number
-
+
256554140 = 2251731101241
BaseRepresentation
bin11110100101010…
…11010010011100
3122212202022010012
433102223102130
51011134213030
641242502352
76233450153
oct1722532234
9585668105
10256554140
111218aaa17
1271b049b8
13411c89ab
142610459a
15177cb095
hexf4ab49c

256554140 has 96 divisors (see below), whose sum is σ = 597155328. Its totient is φ = 92160000.

The previous prime is 256554101. The next prime is 256554143. The reversal of 256554140 is 41455652.

It is a super-2 number, since 2×2565541402 = 131640053502279200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256554097 and 256554106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256554143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064420 + ... + 1064660.

It is an arithmetic number, because the mean of its divisors is an integer number (6220368).

Almost surely, 2256554140 is an apocalyptic number.

256554140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298577664).

256554140 is an abundant number, since it is smaller than the sum of its proper divisors (340601188).

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

256554140 is a wasteful number, since it uses less digits than its factorization.

256554140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 256554140 is about 16017.3075140612. The cubic root of 256554140 is about 635.4182377076.

The spelling of 256554140 in words is "two hundred fifty-six million, five hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 101 124 155 170 202 241 310 340 404 482 505 527 620 964 1010 1054 1205 1717 2020 2108 2410 2635 3131 3434 4097 4820 5270 6262 6868 7471 8194 8585 10540 12524 14942 15655 16388 17170 20485 24341 29884 31310 34340 37355 40970 48682 53227 62620 74710 81940 97364 106454 121705 127007 149420 212908 243410 254014 266135 413797 486820 508028 532270 635035 754571 827594 1064540 1270070 1509142 1655188 2068985 2540140 3018284 3772855 4137970 7545710 8275940 12827707 15091420 25655414 51310828 64138535 128277070 256554140