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10627072 = 2115189
BaseRepresentation
bin101000100010…
…100000000000
3201222220121021
4220202200000
510210031242
61015435224
7156220501
oct50424000
921886537
1010627072
115aa9305
123685b14
132281111
1415a8ba8
15dedb67
hexa22800

10627072 has 24 divisors (see below), whose sum is σ = 21253050. Its totient is φ = 5312512.

The previous prime is 10627069. The next prime is 10627073. The reversal of 10627072 is 27072601.

Adding to 10627072 its reverse (27072601), we get a palindrome (37699673).

It can be written as a sum of positive squares in only one way, i.e., 7750656 + 2876416 = 2784^2 + 1696^2 .

It is a super-2 number, since 2×106270722 = 225869318586368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10627073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 547 + ... + 4642.

Almost surely, 210627072 is an apocalyptic number.

10627072 is the 1743-rd centered heptagonal number.

It is an amenable number.

10627072 is a deficient number, since it is larger than the sum of its proper divisors (10625978).

10627072 is an frugal number, since it uses more digits than its factorization.

10627072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 10627072 is about 3259.9190173991. The cubic root of 10627072 is about 219.8557732376.

The spelling of 10627072 in words is "ten million, six hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 5189 10378 20756 41512 83024 166048 332096 664192 1328384 2656768 5313536 10627072