Search a number
-
+
198614880 = 25325137927
BaseRepresentation
bin10111101011010…
…01111101100000
3111211201200101200
423311221331200
5401321134010
631413001200
74631125062
oct1365517540
9454650350
10198614880
11a2127332
1256623200
13321c09c9
141c541732
1512683cc0
hexbd69f60

198614880 has 72 divisors (see below), whose sum is σ = 677778192. Its totient is φ = 52963584.

The previous prime is 198614869. The next prime is 198614921. The reversal of 198614880 is 88416891.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67524 + ... + 70403.

It is an arithmetic number, because the mean of its divisors is an integer number (9413586).

Almost surely, 2198614880 is an apocalyptic number.

198614880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198614880 is an abundant number, since it is smaller than the sum of its proper divisors (479163312).

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

198614880 is a wasteful number, since it uses less digits than its factorization.

198614880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137948 (or 137937 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 198614880 is about 14093.0791525486. The cubic root of 198614880 is about 583.4503805036.

The spelling of 198614880 in words is "one hundred ninety-eight million, six hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 137927 275854 413781 551708 689635 827562 1103416 1241343 1379270 1655124 2068905 2206832 2482686 2758540 3310248 4137810 4413664 4965372 5517080 6206715 6620496 8275620 9930744 11034160 12413430 13240992 16551240 19861488 22068320 24826860 33102480 39722976 49653720 66204960 99307440 198614880