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10769536 = 2784137
BaseRepresentation
bin101001000101…
…010010000000
3202021011000201
4221011102000
510224111121
61022454544
7160353031
oct51052200
922234021
1010769536
116096348
123734454
132300c0b
141604a88
15e2ae91
hexa45480

10769536 has 16 divisors (see below), whose sum is σ = 21455190. Its totient is φ = 5384704.

The previous prime is 10769519. The next prime is 10769537. The reversal of 10769536 is 63596701.

It can be written as a sum of positive squares in only one way, i.e., 7529536 + 3240000 = 2744^2 + 1800^2 .

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

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10769495 and 10769504.

It is not an unprimeable number, because it can be changed into a prime (10769537) by changing a digit.

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 as a sum of consecutive naturals, namely, 41941 + ... + 42196.

Almost surely, 210769536 is an apocalyptic number.

10769536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10769536 is a deficient number, since it is larger than the sum of its proper divisors (10685654).

10769536 is an frugal number, since it uses more digits than its factorization.

10769536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84151 (or 84139 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 10769536 is about 3281.6971219173. The cubic root of 10769536 is about 220.8338602416.

The spelling of 10769536 in words is "ten million, seven hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 84137 168274 336548 673096 1346192 2692384 5384768 10769536