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17004996 = 2232412281
BaseRepresentation
bin100000011011…
…1100111000100
31011222221110200
41000313213010
513323124441
61404250500
7264353151
oct100674704
934887420
1017004996
119665118
125840a30
1336a5138
142389228
15175d7b6
hex10379c4

17004996 has 54 divisors (see below), whose sum is σ = 44215626. Its totient is φ = 5510400.

The previous prime is 17004989. The next prime is 17005003. The reversal of 17004996 is 69940071.

It is an interprime number because it is at equal distance from previous prime (17004989) and next prime (17005003).

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 16892100 = 336^2 + 4110^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 17004996.

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 17 ways as a sum of consecutive naturals, for example, 60376 + ... + 60656.

Almost surely, 217004996 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 17004996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22107813).

17004996 is an abundant number, since it is smaller than the sum of its proper divisors (27210630).

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

17004996 is a wasteful number, since it uses less digits than its factorization.

17004996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 17004996 is about 4123.7114351031. The cubic root of 17004996 is about 257.1533450749.

The spelling of 17004996 in words is "seventeen million, four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 281 369 492 562 738 843 1124 1476 1681 1686 2529 3362 3372 5043 5058 6724 10086 10116 11521 15129 20172 23042 30258 34563 46084 60516 69126 103689 138252 207378 414756 472361 944722 1417083 1889444 2834166 4251249 5668332 8502498 17004996