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417027 = 31317237
BaseRepresentation
bin1100101110100000011
3210012001110
41211310003
5101321102
612534403
73354552
oct1456403
9705043
10417027
11265356
12181403
13117a80
14abd99
158386c
hex65d03

417027 has 24 divisors (see below), whose sum is σ = 653296. Its totient is φ = 235008.

The previous prime is 417023. The next prime is 417037. The reversal of 417027 is 720714.

It is not a de Polignac number, because 417027 - 22 = 417023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416994 and 417012.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 417027.

It is not an unprimeable number, because it can be changed into a prime (417023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11253 + ... + 11289.

2417027 is an apocalyptic number.

417027 is a deficient number, since it is larger than the sum of its proper divisors (236269).

417027 is a wasteful number, since it uses less digits than its factorization.

417027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 417027 is about 645.7762770496. The cubic root of 417027 is about 74.7116035658.

The spelling of 417027 in words is "four hundred seventeen thousand, twenty-seven", and thus it is an iban number.

Divisors: 1 3 13 17 37 39 51 111 221 289 481 629 663 867 1443 1887 3757 8177 10693 11271 24531 32079 139009 417027