Search a number
-
+
2256940 = 2257447
BaseRepresentation
bin1000100111000000101100
311020122221101
420213000230
51034210230
6120212444
725120000
oct10470054
94218841
102256940
111301744
1290a124
1361038a
1442a700
152e8aca
hex22702c

2256940 has 60 divisors (see below), whose sum is σ = 5646816. Its totient is φ = 757344.

The previous prime is 2256931. The next prime is 2256959. The reversal of 2256940 is 496522.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2256899 and 2256908.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47997 + ... + 48043.

22256940 is an apocalyptic number.

2256940 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 2256940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823408).

2256940 is an abundant number, since it is smaller than the sum of its proper divisors (3389876).

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

2256940 is an equidigital number, since it uses as much as digits as its factorization.

2256940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2256940 is about 1502.3115522421. The cubic root of 2256940 is about 131.1716569501.

The spelling of 2256940 in words is "two million, two hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 343 470 490 658 686 940 980 1316 1372 1645 1715 2303 2401 3290 3430 4606 4802 6580 6860 9212 9604 11515 12005 16121 23030 24010 32242 46060 48020 64484 80605 112847 161210 225694 322420 451388 564235 1128470 2256940