Search a number
-
+
198404880 = 24354191973
BaseRepresentation
bin10111101001101…
…10101100010000
3111211100000022220
423310312230100
5401242424010
631404301040
74626261612
oct1364665420
9454300286
10198404880
11a1aa3583
1256541780
133214924b
141c4c8db2
1512641970
hexbd36b10

198404880 has 80 divisors (see below), whose sum is σ = 616835520. Its totient is φ = 52754944.

The previous prime is 198404873. The next prime is 198404887. The reversal of 198404880 is 88404891.

198404880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198404873) and next prime (198404887).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (198404887) 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, 99574 + ... + 101546.

It is an arithmetic number, because the mean of its divisors is an integer number (7710444).

Almost surely, 2198404880 is an apocalyptic number.

198404880 is a gapful number since it is divisible by the number (10) 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 198404880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308417760).

198404880 is an abundant number, since it is smaller than the sum of its proper divisors (418430640).

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

198404880 is a wasteful number, since it uses less digits than its factorization.

198404880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 198404880 is about 14085.6267166215. The cubic root of 198404880 is about 583.2446762315.

The spelling of 198404880 in words is "one hundred ninety-eight million, four hundred four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 419 838 1257 1676 1973 2095 2514 3352 3946 4190 5028 5919 6285 6704 7892 8380 9865 10056 11838 12570 15784 16760 19730 20112 23676 25140 29595 31568 33520 39460 47352 50280 59190 78920 94704 100560 118380 157840 236760 473520 826687 1653374 2480061 3306748 4133435 4960122 6613496 8266870 9920244 12400305 13226992 16533740 19840488 24800610 33067480 39680976 49601220 66134960 99202440 198404880