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10750528 = 261741241
BaseRepresentation
bin101001000000…
…101001000000
3202020011221201
4221000221000
510223004103
61022230544
7160243435
oct51005100
922204851
1010750528
116083038
123725454
1322c5379
1415dbb8c
15e2551d
hexa40a40

10750528 has 56 divisors (see below), whose sum is σ = 23234904. Its totient is φ = 4915200.

The previous prime is 10750517. The next prime is 10750529. The reversal of 10750528 is 82505701.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 9193024 = 1248^2 + 3032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10750496 and 10750505.

It is not an unprimeable number, because it can be changed into a prime (10750529) 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, 44488 + ... + 44728.

It is an arithmetic number, because the mean of its divisors is an integer number (414909).

Almost surely, 210750528 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 10750528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11617452).

10750528 is an abundant number, since it is smaller than the sum of its proper divisors (12484376).

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

10750528 is a wasteful number, since it uses less digits than its factorization.

10750528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 10750528 is about 3278.7997804075. The cubic root of 10750528 is about 220.7038613879.

The spelling of 10750528 in words is "ten million, seven hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 241 272 328 482 544 656 697 964 1088 1312 1394 1928 2624 2788 3856 4097 5576 7712 8194 9881 11152 15424 16388 19762 22304 32776 39524 44608 65552 79048 131104 158096 167977 262208 316192 335954 632384 671908 1343816 2687632 5375264 10750528