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17680104 = 23321321453
BaseRepresentation
bin100001101110…
…0011011101000
31020021020112200
41003130123220
514011230404
61430540200
7303164331
oct103343350
936236480
1017680104
119a86362
125b07660
133880500
1424c3288
151843839
hex10dc6e8

17680104 has 72 divisors (see below), whose sum is σ = 51885990. Its totient is φ = 5436288.

The previous prime is 17680099. The next prime is 17680129. The reversal of 17680104 is 40108671.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14062500 + 3617604 = 3750^2 + 1902^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11442 + ... + 12894.

Almost surely, 217680104 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 17680104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25942995).

17680104 is an abundant number, since it is smaller than the sum of its proper divisors (34205886).

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

17680104 is a wasteful number, since it uses less digits than its factorization.

17680104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 17680104 is about 4204.7715752464. The cubic root of 17680104 is about 260.5123231510.

Adding to 17680104 its reverse (40108671), we get a palindrome (57788775).

The spelling of 17680104 in words is "seventeen million, six hundred eighty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1453 1521 2028 2906 3042 4056 4359 5812 6084 8718 11624 12168 13077 17436 18889 26154 34872 37778 52308 56667 75556 104616 113334 151112 170001 226668 245557 340002 453336 491114 680004 736671 982228 1360008 1473342 1964456 2210013 2946684 4420026 5893368 8840052 17680104