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10797057 = 34177841
BaseRepresentation
bin101001001100…
…000000000001
3202022112210000
4221030000001
510231001212
61023230213
7160526205
oct51140001
922275700
1010797057
116104a97
123748369
1323105bb
141610b05
15e341dc
hexa4c001

10797057 has 20 divisors (see below), whose sum is σ = 17079876. Its totient is φ = 6773760.

The previous prime is 10797053. The next prime is 10797071. The reversal of 10797057 is 75079701.

It can be written as a sum of positive squares in 2 ways, for example, as 6170256 + 4626801 = 2484^2 + 2151^2 .

It is not a de Polignac number, because 10797057 - 22 = 10797053 is a prime.

It is a super-2 number, since 2×107970572 = 233152879722498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10797053) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2544 + ... + 5297.

It is a Proth number, since it is equal to 659 ⋅ 214 + 1 and 659 < 214.

Almost surely, 210797057 is an apocalyptic number.

10797057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10797057 is a deficient number, since it is larger than the sum of its proper divisors (6282819).

10797057 is an equidigital number, since it uses as much as digits as its factorization.

10797057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7870 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 15435, while the sum is 36.

The square root of 10797057 is about 3285.8875513322. The cubic root of 10797057 is about 221.0218101227.

The spelling of 10797057 in words is "ten million, seven hundred ninety-seven thousand, fifty-seven".

Divisors: 1 3 9 17 27 51 81 153 459 1377 7841 23523 70569 133297 211707 399891 635121 1199673 3599019 10797057