[go: up one dir, main page]

Search a number
-
+
10631936 = 28717349
BaseRepresentation
bin101000100011…
…101100000000
3202000011021102
4220203230000
510210210221
61015513532
7156240620
oct50435400
922004242
1010631936
116001a27
1236888a8
1322833b3
1415aa880
15e0030b
hexa23b00

10631936 has 72 divisors (see below), whose sum is σ = 25754400. Its totient is φ = 4276224.

The previous prime is 10631923. The next prime is 10631941. The reversal of 10631936 is 63913601.

It is a super-2 number, since 2×106319362 = 226076126216192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10631899 and 10631908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30290 + ... + 30638.

It is an arithmetic number, because the mean of its divisors is an integer number (357700).

Almost surely, 210631936 is an apocalyptic number.

10631936 is a gapful number since it is divisible by the number (16) 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 10631936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877200).

10631936 is an abundant number, since it is smaller than the sum of its proper divisors (15122464).

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

10631936 is an equidigital number, since it uses as much as digits as its factorization.

10631936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 10631936 is about 3260.6649628565. The cubic root of 10631936 is about 219.8893107091.

The spelling of 10631936 in words is "ten million, six hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 349 448 476 544 698 896 952 1088 1396 1792 1904 2176 2443 2792 3808 4352 4886 5584 5933 7616 9772 11168 11866 15232 19544 22336 23732 30464 39088 41531 44672 47464 78176 83062 89344 94928 156352 166124 189856 312704 332248 379712 625408 664496 759424 1328992 1518848 2657984 5315968 10631936