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10540672 = 2782349
BaseRepresentation
bin101000001101…
…011010000000
3201211112002021
4220031122000
510144300142
61013531224
7155410552
oct50153200
921745067
1010540672
115a4a3aa
123643b14
1322509ac
1415854d2
15dd3267
hexa0d680

10540672 has 16 divisors (see below), whose sum is σ = 20999250. Its totient is φ = 5270272.

The previous prime is 10540669. The next prime is 10540741. The reversal of 10540672 is 27604501.

It can be written as a sum of positive squares in only one way, i.e., 8156736 + 2383936 = 2856^2 + 1544^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×105406723 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41047 + ... + 41302.

Almost surely, 210540672 is an apocalyptic number.

It is an amenable number.

10540672 is a deficient number, since it is larger than the sum of its proper divisors (10458578).

10540672 is an frugal number, since it uses more digits than its factorization.

10540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82363 (or 82351 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 10540672 is about 3246.6401094054. The cubic root of 10540672 is about 219.2583289106.

The spelling of 10540672 in words is "ten million, five hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 82349 164698 329396 658792 1317584 2635168 5270336 10540672