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17990112 = 2537191409
BaseRepresentation
bin100010010100…
…0000111100000
31020211222210110
41010220013200
514101140422
61441331320
7305625210
oct104500740
936758713
1017990112
11a178268
126036b40
13395b64a
142564240
1518a560c
hex11281e0

17990112 has 96 divisors (see below), whose sum is σ = 56851200. Its totient is φ = 4866048.

The previous prime is 17990107. The next prime is 17990113. The reversal of 17990112 is 21109971.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 17990112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17990113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12064 + ... + 13472.

It is an arithmetic number, because the mean of its divisors is an integer number (592200).

Almost surely, 217990112 is an apocalyptic number.

17990112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17990112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28425600).

17990112 is an abundant number, since it is smaller than the sum of its proper divisors (38861088).

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

17990112 is a wasteful number, since it uses less digits than its factorization.

17990112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 17990112 is about 4241.4752150637. The cubic root of 17990112 is about 262.0261419441.

The spelling of 17990112 in words is "seventeen million, nine hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1409 1596 1824 2128 2818 3192 4227 4256 5636 6384 8454 9863 11272 12768 16908 19726 22544 26771 29589 33816 39452 45088 53542 59178 67632 78904 80313 107084 118356 135264 157808 160626 187397 214168 236712 315616 321252 374794 428336 473424 562191 642504 749588 856672 946848 1124382 1285008 1499176 2248764 2570016 2998352 4497528 5996704 8995056 17990112