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10390688 = 257114217
BaseRepresentation
bin100111101000…
…110010100000
3201112220100022
4213220302200
510130000223
61010413012
7154214360
oct47506240
921486308
1010390688
115957750
123591168
1321ca649
1415469a0
15da3ac8
hex9e8ca0

10390688 has 48 divisors (see below), whose sum is σ = 25510464. Its totient is φ = 4047360.

The previous prime is 10390669. The next prime is 10390693. The reversal of 10390688 is 88609301.

It is a super-2 number, since 2×103906882 = 215932794226688, which contains 22 as substring.

It is a congruent number.

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, 356 + ... + 4572.

It is an arithmetic number, because the mean of its divisors is an integer number (531468).

Almost surely, 210390688 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 10390688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755232).

10390688 is an abundant number, since it is smaller than the sum of its proper divisors (15119776).

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

10390688 is a wasteful number, since it uses less digits than its factorization.

10390688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 10390688 is about 3223.4590116829. The cubic root of 10390688 is about 218.2134093987.

Adding to 10390688 its reverse (88609301), we get a palindrome (98999989).

The spelling of 10390688 in words is "ten million, three hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4217 8434 16868 29519 33736 46387 59038 67472 92774 118076 134944 185548 236152 324709 371096 472304 649418 742192 944608 1298836 1484384 2597672 5195344 10390688