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198363840 = 26351271627
BaseRepresentation
bin10111101001011…
…00101011000000
3111211020221000220
423310230223000
5401240120330
631403343040
74626031143
oct1364545300
9454227026
10198363840
11a1a75764
1256521a80
133213366c
141c4b805a
1512634710
hexbd2cac0

198363840 has 112 divisors (see below), whose sum is σ = 635154432. Its totient is φ = 52448256.

The previous prime is 198363793. The next prime is 198363877. The reversal of 198363840 is 48363891.

It is a happy number.

198363840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 198363792 and 198363801.

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, 121107 + ... + 122733.

Almost surely, 2198363840 is an apocalyptic number.

198363840 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 198363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317577216).

198363840 is an abundant number, since it is smaller than the sum of its proper divisors (436790592).

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

198363840 is a wasteful number, since it uses less digits than its factorization.

198363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 198363840 is about 14084.1698370902. The cubic root of 198363840 is about 583.2044587864.

The spelling of 198363840 in words is "one hundred ninety-eight million, three hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 160 192 240 254 320 381 480 508 635 762 960 1016 1270 1524 1627 1905 2032 2540 3048 3254 3810 4064 4881 5080 6096 6508 7620 8128 8135 9762 10160 12192 13016 15240 16270 19524 20320 24384 24405 26032 30480 32540 39048 40640 48810 52064 60960 65080 78096 97620 104128 121920 130160 156192 195240 206629 260320 312384 390480 413258 520640 619887 780960 826516 1033145 1239774 1561920 1653032 2066290 2479548 3099435 3306064 4132580 4959096 6198870 6612128 8265160 9918192 12397740 13224256 16530320 19836384 24795480 33060640 39672768 49590960 66121280 99181920 198363840