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2180928 = 26337307
BaseRepresentation
bin1000010100011101000000
311002210200010
420110131000
51024242203
6114424520
724352251
oct10243500
94083603
102180928
11125a622
12892140
135b48b9
1440ab28
152d1303
hex214740

2180928 has 56 divisors (see below), whose sum is σ = 5945632. Its totient is φ = 705024.

The previous prime is 2180923. The next prime is 2180957. The reversal of 2180928 is 8290812.

It is a junction number, because it is equal to n+sod(n) for n = 2180895 and 2180904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6951 + ... + 7257.

It is an arithmetic number, because the mean of its divisors is an integer number (106172).

22180928 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 2180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972816).

2180928 is an abundant number, since it is smaller than the sum of its proper divisors (3764704).

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

2180928 is a wasteful number, since it uses less digits than its factorization.

2180928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2180928 is about 1476.7965330404. The cubic root of 2180928 is about 129.6822218687.

The spelling of 2180928 in words is "two million, one hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 307 444 592 614 888 921 1184 1228 1776 1842 2368 2456 3552 3684 4912 7104 7368 9824 11359 14736 19648 22718 29472 34077 45436 58944 68154 90872 136308 181744 272616 363488 545232 726976 1090464 2180928