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10290936 = 23323103181
BaseRepresentation
bin100111010000…
…011011111000
3201100211111210
4213100123320
510113302221
61004323120
7153320505
oct47203370
921324453
1010290936
115899807
1235434a0
132194116
14151c4ac
15d84276
hex9d06f8

10290936 has 64 divisors (see below), whose sum is σ = 27256320. Its totient is φ = 3231360.

The previous prime is 10290919. The next prime is 10290971. The reversal of 10290936 is 63909201.

10290936 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56766 + ... + 56946.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 210290936 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 10290936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628160).

10290936 is an abundant number, since it is smaller than the sum of its proper divisors (16965384).

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

10290936 is a wasteful number, since it uses less digits than its factorization.

10290936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 10290936 is about 3207.9488773981. The cubic root of 10290936 is about 217.5128701593.

The spelling of 10290936 in words is "ten million, two hundred ninety thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 103 138 181 184 206 276 309 362 412 543 552 618 724 824 1086 1236 1448 2172 2369 2472 4163 4344 4738 7107 8326 9476 12489 14214 16652 18643 18952 24978 28428 33304 37286 49956 55929 56856 74572 99912 111858 149144 223716 428789 447432 857578 1286367 1715156 2572734 3430312 5145468 10290936