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5140256 = 251117859
BaseRepresentation
bin10011100110111100100000
3100200011002212
4103212330200
52303442011
6302101252
761456112
oct23467440
910604085
105140256
1129a0a50
12187a828
1310ac894
1497b3b2
156b808b
hex4e6f20

5140256 has 48 divisors (see below), whose sum is σ = 11702880. Its totient is φ = 2196480.

The previous prime is 5140253. The next prime is 5140259. The reversal of 5140256 is 6520415.

5140256 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5140253) and next prime (5140259).

It is not an unprimeable number, because it can be changed into a prime (5140253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5555 + ... + 6413.

It is an arithmetic number, because the mean of its divisors is an integer number (243810).

Almost surely, 25140256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851440).

5140256 is an abundant number, since it is smaller than the sum of its proper divisors (6562624).

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

5140256 is a wasteful number, since it uses less digits than its factorization.

5140256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5140256 is about 2267.2132674277. The cubic root of 5140256 is about 172.5817689770.

The spelling of 5140256 in words is "five million, one hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 859 1496 1718 2992 3436 5984 6872 9449 13744 14603 18898 27488 29206 37796 58412 75592 116824 151184 160633 233648 302368 321266 467296 642532 1285064 2570128 5140256