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198136940 = 22519607859
BaseRepresentation
bin10111100111101…
…01010001101100
3111210211101210012
423303311101230
5401210340230
631354432352
74624064501
oct1363652154
9453741705
10198136940
11a1930241
12564326b8
13320842c1
141c4594a8
15125dc395
hexbcf546c

198136940 has 48 divisors (see below), whose sum is σ = 439219200. Its totient is φ = 74872512.

The previous prime is 198136933. The next prime is 198136951. The reversal of 198136940 is 49631891.

It is a super-3 number, since 3×1981369403 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230231 + ... + 231089.

It is an arithmetic number, because the mean of its divisors is an integer number (9150400).

Almost surely, 2198136940 is an apocalyptic number.

198136940 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 198136940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219609600).

198136940 is an abundant number, since it is smaller than the sum of its proper divisors (241082260).

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

198136940 is a wasteful number, since it uses less digits than its factorization.

198136940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 198136940 is about 14076.1123894348. The cubic root of 198136940 is about 582.9820063155.

The spelling of 198136940 in words is "one hundred ninety-eight million, one hundred thirty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 607 859 1214 1718 2428 3035 3436 4295 6070 8590 11533 12140 16321 17180 23066 32642 46132 57665 65284 81605 115330 163210 230660 326420 521413 1042826 2085652 2607065 5214130 9906847 10428260 19813694 39627388 49534235 99068470 198136940