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10934528 = 28112353
BaseRepresentation
bin101001101101…
…100100000000
3202120112100112
4221231210000
510244401103
61030210452
7161641043
oct51554400
922515315
1010934528
116199300
1237b3a28
13235b047
141648c5a
15e5ecd8
hexa6d900

10934528 has 54 divisors (see below), whose sum is σ = 24058902. Its totient is φ = 4956160.

The previous prime is 10934509. The next prime is 10934531. The reversal of 10934528 is 82543901.

It can be written as a sum of positive squares in only one way, i.e., 8952064 + 1982464 = 2992^2 + 1408^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10934494 and 10934503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30800 + ... + 31152.

Almost surely, 210934528 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 10934528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029451).

10934528 is an abundant number, since it is smaller than the sum of its proper divisors (13124374).

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

10934528 is an equidigital number, since it uses as much as digits as its factorization.

10934528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 10934528 is about 3306.7397841378. The cubic root of 10934528 is about 221.9558930852.

The spelling of 10934528 in words is "ten million, nine hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 353 484 704 706 968 1408 1412 1936 2816 2824 3872 3883 5648 7744 7766 11296 15488 15532 22592 30976 31064 42713 45184 62128 85426 90368 124256 170852 248512 341704 497024 683408 994048 1366816 2733632 5467264 10934528