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198103136 = 2571127309
BaseRepresentation
bin10111100111011…
…01000001100000
3111210202200102012
423303231001200
5401203300021
631354012052
74623564110
oct1363550140
9453680365
10198103136
11a1907900
1256417028
1332071aba
141c44b040
15125d235b
hexbced060

198103136 has 72 divisors (see below), whose sum is σ = 490003920. Its totient is φ = 77172480.

The previous prime is 198103133. The next prime is 198103181. The reversal of 198103136 is 631301891.

198103136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198103133) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23450 + ... + 30758.

It is an arithmetic number, because the mean of its divisors is an integer number (6805610).

Almost surely, 2198103136 is an apocalyptic number.

198103136 is a gapful number since it is divisible by the number (16) 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 198103136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245001960).

198103136 is an abundant number, since it is smaller than the sum of its proper divisors (291900784).

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

198103136 is a wasteful number, since it uses less digits than its factorization.

198103136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7348 (or 7329 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 198103136 is about 14074.9115805393. The cubic root of 198103136 is about 582.9488503838.

The spelling of 198103136 in words is "one hundred ninety-eight million, one hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 7309 13552 14618 27104 29236 51163 58472 80399 102326 116944 160798 204652 233888 321596 409304 562793 643192 818608 884389 1125586 1286384 1637216 1768778 2251172 2572768 3537556 4502344 6190723 7075112 9004688 12381446 14150224 18009376 24762892 28300448 49525784 99051568 198103136