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10850436 = 2236612
BaseRepresentation
bin101001011001…
…000010000100
3202102021000000
4221121002010
510234203221
61024321300
7161140632
oct51310204
922367000
1010850436
116141103
123773230
13232b99c
141626352
15e44e26
hexa59084

10850436 has 63 divisors (see below), whose sum is σ = 28943733. Its totient is φ = 3557520.

The previous prime is 10850431. The next prime is 10850447. The reversal of 10850436 is 63405801.

The square root of 10850436 is 3294.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 10497600 = 594^2 + 3240^2 .

It is a super-2 number, since 2×108504362 = 235463922780192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10850431) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 177846 + ... + 177906.

Almost surely, 210850436 is an apocalyptic number.

10850436 is the 3294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10850436

10850436 is an abundant number, since it is smaller than the sum of its proper divisors (18093297).

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

10850436 is an frugal number, since it uses more digits than its factorization.

10850436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 10850436 is about 221.3854442146.

The spelling of 10850436 in words is "ten million, eight hundred fifty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 729 732 972 1098 1458 1647 2196 2916 3294 3721 4941 6588 7442 9882 11163 14823 14884 19764 22326 29646 33489 44469 44652 59292 66978 88938 100467 133956 177876 200934 301401 401868 602802 904203 1205604 1808406 2712609 3616812 5425218 10850436