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10468528 = 247151619
BaseRepresentation
bin100111111011…
…110010110000
3201200212010021
4213323302300
510134443103
61012213224
7154660330
oct47736260
921625107
1010468528
115a00184
12360a214
132226bc5
1415670c0
15dbbbbd
hex9fbcb0

10468528 has 40 divisors (see below), whose sum is σ = 23371520. Its totient is φ = 4449600.

The previous prime is 10468517. The next prime is 10468529. The reversal of 10468528 is 82586401.

10468528 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10468493 and 10468502.

It is not an unprimeable number, because it can be changed into a prime (10468529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16603 + ... + 17221.

It is an arithmetic number, because the mean of its divisors is an integer number (584288).

Almost surely, 210468528 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 10468528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11685760).

10468528 is an abundant number, since it is smaller than the sum of its proper divisors (12902992).

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

10468528 is a wasteful number, since it uses less digits than its factorization.

10468528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 10468528 is about 3235.5104697713. The cubic root of 10468528 is about 218.7569567311.

The spelling of 10468528 in words is "ten million, four hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 302 604 619 1057 1208 1238 2114 2416 2476 4228 4333 4952 8456 8666 9904 16912 17332 34664 69328 93469 186938 373876 654283 747752 1308566 1495504 2617132 5234264 10468528