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2128456 = 231119267
BaseRepresentation
bin1000000111101001001000
311000010200201
420013221020
51021102311
6113341544
724043261
oct10075110
94003621
102128456
111224160
128678b4
13596a55
143d5968
152c09c1
hex207a48

2128456 has 48 divisors (see below), whose sum is σ = 4663440. Its totient is φ = 902880.

The previous prime is 2128453. The next prime is 2128463. The reversal of 2128456 is 6548212.

It is not an unprimeable number, because it can be changed into a prime (2128453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31735 + ... + 31801.

It is an arithmetic number, because the mean of its divisors is an integer number (97155).

22128456 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 2128456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331720).

2128456 is an abundant number, since it is smaller than the sum of its proper divisors (2534984).

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

2128456 is a wasteful number, since it uses less digits than its factorization.

2128456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2128456 is about 1458.9228903544. The cubic root of 2128456 is about 128.6337386394.

It can be divided in two parts, 212 and 8456, that added together give a palindrome (8668).

The spelling of 2128456 in words is "two million, one hundred twenty-eight thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 67 76 88 134 152 209 268 361 418 536 722 737 836 1273 1444 1474 1672 2546 2888 2948 3971 5092 5896 7942 10184 14003 15884 24187 28006 31768 48374 56012 96748 112024 193496 266057 532114 1064228 2128456