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1998192 = 243719313
BaseRepresentation
bin111100111110101110000
310202112000010
413213311300
51002420232
6110454520
722661430
oct7476560
93675003
101998192
1111452a9
12804440
1354c681
143a02c0
152970cc
hex1e7d70

1998192 has 80 divisors (see below), whose sum is σ = 6229760. Its totient is φ = 539136.

The previous prime is 1998181. The next prime is 1998209. The reversal of 1998192 is 2918991.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1998192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6228 + ... + 6540.

It is an arithmetic number, because the mean of its divisors is an integer number (77872).

21998192 is an apocalyptic number.

1998192 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 1998192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114880).

1998192 is an abundant number, since it is smaller than the sum of its proper divisors (4231568).

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

1998192 is a wasteful number, since it uses less digits than its factorization.

1998192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its digits is 11664, while the sum is 39.

The square root of 1998192 is about 1413.5741933128. The cubic root of 1998192 is about 125.9541279225.

The spelling of 1998192 in words is "one million, nine hundred ninety-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 313 336 399 456 532 626 798 912 939 1064 1252 1596 1878 2128 2191 2504 3192 3756 4382 5008 5947 6384 6573 7512 8764 11894 13146 15024 17528 17841 23788 26292 35056 35682 41629 47576 52584 71364 83258 95152 105168 124887 142728 166516 249774 285456 333032 499548 666064 999096 1998192