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17142137 = 173727253
BaseRepresentation
bin100000101100…
…1000101111001
31012020220120222
41001121011321
513342022022
61411225425
7265464035
oct101310571
935226528
1017142137
119749161
1258a8275
13372269c
1423c31c5
151789242
hex1059179

17142137 has 8 divisors (see below), whose sum is σ = 18641736. Its totient is φ = 15697152.

The previous prime is 17142133. The next prime is 17142143. The reversal of 17142137 is 73124171.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8404201 + 8737936 = 2899^2 + 2956^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 17142137 - 22 = 17142133 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17142133) 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 7 ways as a sum of consecutive naturals, for example, 12998 + ... + 14255.

It is an arithmetic number, because the mean of its divisors is an integer number (2330217).

Almost surely, 217142137 is an apocalyptic number.

17142137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

17142137 is a deficient number, since it is larger than the sum of its proper divisors (1499599).

17142137 is a wasteful number, since it uses less digits than its factorization.

17142137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27307.

The product of its digits is 1176, while the sum is 26.

The square root of 17142137 is about 4140.3063896287. The cubic root of 17142137 is about 257.8427872615.

The spelling of 17142137 in words is "seventeen million, one hundred forty-two thousand, one hundred thirty-seven".

Divisors: 1 17 37 629 27253 463301 1008361 17142137