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17142264 = 2332415807
BaseRepresentation
bin100000101100…
…1000111111000
31012020220202200
41001121013320
513342023024
61411230200
7265464306
oct101310770
935226680
1017142264
119749267
1258a8360
133722769
1423c3276
1517892c9
hex10591f8

17142264 has 48 divisors (see below), whose sum is σ = 47567520. Its totient is φ = 5573760.

The previous prime is 17142259. The next prime is 17142271. The reversal of 17142264 is 46224171.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 49 + ... + 5855.

It is an arithmetic number, because the mean of its divisors is an integer number (990990).

Almost surely, 217142264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17142264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783760).

17142264 is an abundant number, since it is smaller than the sum of its proper divisors (30425256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17142264 is a wasteful number, since it uses less digits than its factorization.

17142264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5853 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 17142264 is about 4140.3217266295. The cubic root of 17142264 is about 257.8434240151.

The spelling of 17142264 in words is "seventeen million, one hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 5807 11614 17421 23228 34842 46456 52263 69684 104526 139368 209052 238087 418104 476174 714261 952348 1428522 1904696 2142783 2857044 4285566 5714088 8571132 17142264