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2180256 = 253131747
BaseRepresentation
bin1000010100010010100000
311002202202020
420110102200
51024232011
6114421440
724350301
oct10242240
94082666
102180256
11125a071
12891880
135b44c0
1440a7a8
152d1006
hex2144a0

2180256 has 48 divisors (see below), whose sum is σ = 6166944. Its totient is φ = 670464.

The previous prime is 2180251. The next prime is 2180281. The reversal of 2180256 is 6520812.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (128478).

22180256 is an apocalyptic number.

2180256 is a gapful number since it is divisible by the number (26) 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 2180256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083472).

2180256 is an abundant number, since it is smaller than the sum of its proper divisors (3986688).

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

2180256 is a wasteful number, since it uses less digits than its factorization.

2180256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2180256 is about 1476.5689960175. The cubic root of 2180256 is about 129.6689010247.

The spelling of 2180256 in words is "two million, one hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1747 3494 5241 6988 10482 13976 20964 22711 27952 41928 45422 55904 68133 83856 90844 136266 167712 181688 272532 363376 545064 726752 1090128 2180256