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198136939 = 72111328277
BaseRepresentation
bin10111100111101…
…01010001101011
3111210211101210011
423303311101223
5401210340224
631354432351
74624064500
oct1363652153
9453741704
10198136939
11a1930240
12564326b7
13320842c0
141c4594a7
15125dc394
hexbcf546b

198136939 has 24 divisors (see below), whose sum is σ = 270790128. Its totient is φ = 142511040.

The previous prime is 198136933. The next prime is 198136951. The reversal of 198136939 is 939631891.

It is not a de Polignac number, because 198136939 - 211 = 198134891 is a prime.

It is a super-3 number, since 3×1981369393 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 198136892 and 198136901.

It is not an unprimeable number, because it can be changed into a prime (198136933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7132 + ... + 21145.

It is an arithmetic number, because the mean of its divisors is an integer number (11282922).

Almost surely, 2198136939 is an apocalyptic number.

198136939 is a deficient number, since it is larger than the sum of its proper divisors (72653189).

198136939 is a wasteful number, since it uses less digits than its factorization.

198136939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28315 (or 28308 counting only the distinct ones).

The product of its digits is 314928, while the sum is 49.

The square root of 198136939 is about 14076.1123539136. The cubic root of 198136939 is about 582.9820053347.

The spelling of 198136939 in words is "one hundred ninety-eight million, one hundred thirty-six thousand, nine hundred thirty-nine".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 28277 197939 311047 367601 1385573 2177329 2573207 4043611 15241303 18012449 28305277 198136939