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10639488 = 273103269
BaseRepresentation
bin101000100101…
…100010000000
3202000112122010
4220211202000
510210430423
61020012520
7156301626
oct50454200
922015563
1010639488
116007672
123691140
132286972
1415ad516
15e02693
hexa25880

10639488 has 64 divisors (see below), whose sum is σ = 28641600. Its totient is φ = 3499008.

The previous prime is 10639481. The next prime is 10639493. The reversal of 10639488 is 88493601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106394882 = 226397409804288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10639481) 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, 39418 + ... + 39686.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 210639488 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 10639488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320800).

10639488 is an abundant number, since it is smaller than the sum of its proper divisors (18002112).

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

10639488 is a wasteful number, since it uses less digits than its factorization.

10639488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 10639488 is about 3261.8228032804. The cubic root of 10639488 is about 219.9413617826.

The spelling of 10639488 in words is "ten million, six hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 269 309 384 412 538 618 807 824 1076 1236 1614 1648 2152 2472 3228 3296 4304 4944 6456 6592 8608 9888 12912 13184 17216 19776 25824 27707 34432 39552 51648 55414 83121 103296 110828 166242 221656 332484 443312 664968 886624 1329936 1773248 2659872 3546496 5319744 10639488