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10545664 = 2943479
BaseRepresentation
bin101000001110…
…101000000000
3201211202221011
4220032220000
510144430124
61014010304
7155431243
oct50165000
921752834
1010545664
115a53128
123646994
13225304c
14158725a
15dd4994
hexa0ea00

10545664 has 40 divisors (see below), whose sum is σ = 21605760. Its totient is φ = 5139456.

The previous prime is 10545659. The next prime is 10545721. The reversal of 10545664 is 46654501.

It is a super-2 number, since 2×105456642 = 222422058401792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21777 + ... + 22255.

It is an arithmetic number, because the mean of its divisors is an integer number (540144).

Almost surely, 210545664 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 10545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802880).

10545664 is an abundant number, since it is smaller than the sum of its proper divisors (11060096).

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

10545664 is an frugal number, since it uses more digits than its factorization.

10545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 10545664 is about 3247.4088131925. The cubic root of 10545664 is about 219.2929365976.

The spelling of 10545664 in words is "ten million, five hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 479 512 688 958 1376 1916 2752 3832 5504 7664 11008 15328 20597 22016 30656 41194 61312 82388 122624 164776 245248 329552 659104 1318208 2636416 5272832 10545664