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198764540 = 225134671637
BaseRepresentation
bin10111101100011…
…10011111111100
3111212000021200122
423312032133330
5401340431130
631420114112
74632320312
oct1366163774
9455007618
10198764540
11a2219817
1256695938
1332243b70
141c5800b2
15126b32e5
hexbd8e7fc

198764540 has 48 divisors (see below), whose sum is σ = 450751392. Its totient is φ = 73188096.

The previous prime is 198764539. The next prime is 198764549. The reversal of 198764540 is 45467891.

198764540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1987645402 = 79014684722823200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198764491 and 198764500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198764549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120602 + ... + 122238.

It is an arithmetic number, because the mean of its divisors is an integer number (9390654).

Almost surely, 2198764540 is an apocalyptic number.

198764540 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 198764540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225375696).

198764540 is an abundant number, since it is smaller than the sum of its proper divisors (251986852).

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

198764540 is a wasteful number, since it uses less digits than its factorization.

198764540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 198764540 is about 14098.3878510984. The cubic root of 198764540 is about 583.5968906088.

The spelling of 198764540 in words is "one hundred ninety-eight million, seven hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 467 934 1637 1868 2335 3274 4670 6071 6548 8185 9340 12142 16370 21281 24284 30355 32740 42562 60710 85124 106405 121420 212810 425620 764479 1528958 3057916 3822395 7644790 9938227 15289580 19876454 39752908 49691135 99382270 198764540