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2580928 = 2672823
BaseRepresentation
bin1001110110000111000000
311212010100221
421312013000
51130042203
6131152424
730636400
oct11660700
94763327
102580928
1115030a9
12a45714
136c499c
144b2800
1535eabd
hex2761c0

2580928 has 42 divisors (see below), whose sum is σ = 5964936. Its totient is φ = 1104768.

The previous prime is 2580917. The next prime is 2580931. The reversal of 2580928 is 8290852.

It is a super-2 number, since 2×25809282 = 13322378682368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2580893 and 2580902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2725 + ... + 3547.

22580928 is an apocalyptic number.

2580928 is a gapful number since it is divisible by the number (28) 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 2580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982468).

2580928 is an abundant number, since it is smaller than the sum of its proper divisors (3384008).

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

2580928 is an equidigital number, since it uses as much as digits as its factorization.

2580928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 2580928 is about 1606.5266882315. The cubic root of 2580928 is about 137.1698392678.

The spelling of 2580928 in words is "two million, five hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 823 1568 1646 3136 3292 5761 6584 11522 13168 23044 26336 40327 46088 52672 80654 92176 161308 184352 322616 368704 645232 1290464 2580928