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10804369 = 1921732
BaseRepresentation
bin101001001101…
…110010010001
3202022220210211
4221031302101
510231214434
61023324121
7160556422
oct51156221
922286724
1010804369
11610a534
123750641
132313a24
141613649
15e36464
hexa4dc91

10804369 has 9 divisors (see below), whose sum is σ = 11469243. Its totient is φ = 10176552.

The previous prime is 10804363. The next prime is 10804373. The reversal of 10804369 is 96340801.

The square root of 10804369 is 3287.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9828225 + 976144 = 3135^2 + 988^2 .

It is a de Polignac number, because none of the positive numbers 2k-10804369 is a prime.

It is a super-2 number, since 2×108043692 = 233468778976322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10804369.

It is not an unprimeable number, because it can be changed into a prime (10804363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62367 + ... + 62539.

Almost surely, 210804369 is an apocalyptic number.

10804369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10804369 is the 3287-th square number.

10804369 is the 1644-th centered octagonal number.

It is an amenable number.

10804369 is a deficient number, since it is larger than the sum of its proper divisors (664874).

10804369 is an frugal number, since it uses more digits than its factorization.

10804369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 10804369 is about 221.0716924438.

Multiplying 10804369 by its product of nonzero digits (5184), we get a square (56009848896 = 2366642).

The spelling of 10804369 in words is "ten million, eight hundred four thousand, three hundred sixty-nine".

Divisors: 1 19 173 361 3287 29929 62453 568651 10804369