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2157417 = 32239713
BaseRepresentation
bin1000001110101101101001
311001121102100
420032231221
51023014132
6114124013
724223563
oct10165551
94047370
102157417
111243999
12880609
135a6ca2
14402333
152c937c
hex20eb69

2157417 has 6 divisors (see below), whose sum is σ = 3116282. Its totient is φ = 1438272.

The previous prime is 2157413. The next prime is 2157427. The reversal of 2157417 is 7147512.

2157417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1390041 + 767376 = 1179^2 + 876^2 .

It is not a de Polignac number, because 2157417 - 22 = 2157413 is a prime.

It is a super-2 number, since 2×21574172 = 9308896223778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2157413) 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 5 ways as a sum of consecutive naturals, for example, 119848 + ... + 119865.

22157417 is an apocalyptic number.

It is an amenable number.

2157417 is a deficient number, since it is larger than the sum of its proper divisors (958865).

2157417 is a wasteful number, since it uses less digits than its factorization.

2157417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239719 (or 239716 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 2157417 is about 1468.8148283565. The cubic root of 2157417 is about 129.2145339527.

The spelling of 2157417 in words is "two million, one hundred fifty-seven thousand, four hundred seventeen".

Divisors: 1 3 9 239713 719139 2157417