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198102036 = 223112322837
BaseRepresentation
bin10111100111011…
…00110000010100
3111210202121220110
423303230300110
5401203231121
631354003020
74623560646
oct1363546024
9453677813
10198102036
11a1906aa0
1256416470
1332071452
141c44a896
15125d1d76
hexbcecc14

198102036 has 72 divisors (see below), whose sum is σ = 527323104. Its totient is φ = 57400640.

The previous prime is 198102031. The next prime is 198102053. The reversal of 198102036 is 630201891.

198102036 is digitally balanced in base 2, 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 = 198101994 and 198102012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198102031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68410 + ... + 71246.

It is an arithmetic number, because the mean of its divisors is an integer number (7323932).

Almost surely, 2198102036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198102036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263661552).

198102036 is an abundant number, since it is smaller than the sum of its proper divisors (329221068).

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

198102036 is a wasteful number, since it uses less digits than its factorization.

198102036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 198102036 is about 14074.8725038630. The cubic root of 198102036 is about 582.9477714089.

The spelling of 198102036 in words is "one hundred ninety-eight million, one hundred two thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 529 759 1012 1058 1518 1587 2116 2837 3036 3174 5674 5819 6348 8511 11348 11638 17022 17457 23276 31207 34044 34914 62414 65251 69828 93621 124828 130502 187242 195753 261004 374484 391506 717761 783012 1435522 1500773 2153283 2871044 3001546 4306566 4502319 6003092 8613132 9004638 16508503 18009276 33017006 49525509 66034012 99051018 198102036