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256134120 = 233511613181
BaseRepresentation
bin11110100010001…
…00101111101000
3122211221221221220
433101010233220
51011032242440
641225502040
76230050464
oct1721045750
9584857856
10256134120
111216433a0
1271941920
13410ac768
14260354a4
15177468d0
hexf444be8

256134120 has 128 divisors (see below), whose sum is σ = 852266880. Its totient is φ = 61056000.

The previous prime is 256134103. The next prime is 256134127. The reversal of 256134120 is 21431652.

256134120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (256134127) 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, 78930 + ... + 82110.

It is an arithmetic number, because the mean of its divisors is an integer number (6658335).

Almost surely, 2256134120 is an apocalyptic number.

256134120 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 256134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426133440).

256134120 is an abundant number, since it is smaller than the sum of its proper divisors (596132760).

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

256134120 is a wasteful number, since it uses less digits than its factorization.

256134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 256134120 is about 16004.1907011882. The cubic root of 256134120 is about 635.0712880058.

Adding to 256134120 its reverse (21431652), we get a palindrome (277565772).

The spelling of 256134120 in words is "two hundred fifty-six million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 165 183 220 244 264 305 330 366 440 488 610 660 671 732 915 1220 1320 1342 1464 1830 2013 2440 2684 3181 3355 3660 4026 5368 6362 6710 7320 8052 9543 10065 12724 13420 15905 16104 19086 20130 25448 26840 31810 34991 38172 40260 47715 63620 69982 76344 80520 95430 104973 127240 139964 174955 190860 194041 209946 279928 349910 381720 388082 419892 524865 582123 699820 776164 839784 970205 1049730 1164246 1399640 1552328 1940410 2099460 2134451 2328492 2910615 3880820 4198920 4268902 4656984 5821230 6403353 7761640 8537804 10672255 11642460 12806706 17075608 21344510 23284920 25613412 32016765 42689020 51226824 64033530 85378040 128067060 256134120