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10326880 = 255194379
BaseRepresentation
bin100111011001…
…001101100000
3201102122211001
4213121031200
510120430010
61005201344
7153530344
oct47311540
921378731
1010326880
115913813
123560254
1321a75a5
14152b624
15d8ec3a
hex9d9360

10326880 has 96 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 3773952.

The previous prime is 10326863. The next prime is 10326881. The reversal of 10326880 is 8862301.

It is a super-3 number, since 3×103268803 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10326881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130681 + ... + 130759.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 210326880 is an apocalyptic number.

10326880 is a gapful number since it is divisible by the number (10) 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 10326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

10326880 is an abundant number, since it is smaller than the sum of its proper divisors (16284320).

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

10326880 is a wasteful number, since it uses less digits than its factorization.

10326880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10326880 is about 3213.5463276573. The cubic root of 10326880 is about 217.7658175979.

The spelling of 10326880 in words is "ten million, three hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 76 79 80 86 95 152 158 160 172 190 215 304 316 344 380 395 430 608 632 688 760 790 817 860 1264 1376 1501 1520 1580 1634 1720 2528 3002 3040 3160 3268 3397 3440 4085 6004 6320 6536 6794 6880 7505 8170 12008 12640 13072 13588 15010 16340 16985 24016 26144 27176 30020 32680 33970 48032 54352 60040 64543 65360 67940 108704 120080 129086 130720 135880 240160 258172 271760 322715 516344 543520 645430 1032688 1290860 2065376 2581720 5163440 10326880