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10890217 = 131749277
BaseRepresentation
bin101001100010…
…101111101001
3202111021120101
4221202233221
510241441332
61025225401
7161364622
oct51425751
922437511
1010890217
116168a88
123792261
132343b20
141636a49
15e51ae7
hexa62be9

10890217 has 8 divisors (see below), whose sum is σ = 12418056. Its totient is φ = 9460992.

The previous prime is 10890199. The next prime is 10890221. The reversal of 10890217 is 71209801.

It can be written as a sum of positive squares in 4 ways, for example, as 2223081 + 8667136 = 1491^2 + 2944^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10890217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10890277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24418 + ... + 24859.

It is an arithmetic number, because the mean of its divisors is an integer number (1552257).

Almost surely, 210890217 is an apocalyptic number.

10890217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10890217 is a deficient number, since it is larger than the sum of its proper divisors (1527839).

10890217 is a wasteful number, since it uses less digits than its factorization.

10890217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49307.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 10890217 is about 3300.0328786241. The cubic root of 10890217 is about 221.6556697078.

The spelling of 10890217 in words is "ten million, eight hundred ninety thousand, two hundred seventeen".

Divisors: 1 13 17 221 49277 640601 837709 10890217