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10851072 = 28371199
BaseRepresentation
bin101001011001…
…001100000000
3202102021212120
4221121030000
510234213242
61024324240
7161142531
oct51311400
922367776
1010851072
116141631
123773680
13232c06b
141626688
15e451ec
hexa59300

10851072 has 72 divisors (see below), whose sum is σ = 29433600. Its totient is φ = 3548160.

The previous prime is 10851047. The next prime is 10851077. The reversal of 10851072 is 27015801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10851077) 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, 54429 + ... + 54627.

It is an arithmetic number, because the mean of its divisors is an integer number (408800).

Almost surely, 210851072 is an apocalyptic number.

10851072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716800).

10851072 is an abundant number, since it is smaller than the sum of its proper divisors (18582528).

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

10851072 is an equidigital number, since it uses as much as digits as its factorization.

10851072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 10851072 is about 3294.0965377475. The cubic root of 10851072 is about 221.3897696442.

Adding to 10851072 its reverse (27015801), we get a palindrome (37866873).

The spelling of 10851072 in words is "ten million, eight hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 199 213 256 284 384 398 426 568 597 768 796 852 1136 1194 1592 1704 2272 2388 3184 3408 4544 4776 6368 6816 9088 9552 12736 13632 14129 18176 19104 25472 27264 28258 38208 42387 50944 54528 56516 76416 84774 113032 152832 169548 226064 339096 452128 678192 904256 1356384 1808512 2712768 3617024 5425536 10851072