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198739136 = 2623374189
BaseRepresentation
bin10111101100010…
…00010011000000
3111211221222211202
423312020103000
5401334123021
631415400332
74632153251
oct1366102300
9454858752
10198739136
11a2201722
12566830a8
133223542b
141c574b28
15126aaa0b
hexbd884c0

198739136 has 112 divisors (see below), whose sum is σ = 437814720. Its totient is φ = 89210880.

The previous prime is 198739127. The next prime is 198739141. The reversal of 198739136 is 631937891.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2232980 + ... + 2233068.

It is an arithmetic number, because the mean of its divisors is an integer number (3909060).

Almost surely, 2198739136 is an apocalyptic number.

198739136 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 198739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218907360).

198739136 is an abundant number, since it is smaller than the sum of its proper divisors (239075584).

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

198739136 is a wasteful number, since it uses less digits than its factorization.

198739136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its digits is 244944, while the sum is 47.

The square root of 198739136 is about 14097.4868682329. The cubic root of 198739136 is about 583.5720264704.

The spelling of 198739136 in words is "one hundred ninety-eight million, seven hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 37 41 46 64 74 82 89 92 148 164 178 184 296 328 356 368 592 656 712 736 851 943 1184 1312 1424 1472 1517 1702 1886 2047 2368 2624 2848 3034 3293 3404 3649 3772 4094 5696 6068 6586 6808 7298 7544 8188 12136 13172 13616 14596 15088 16376 24272 26344 27232 29192 30176 32752 34891 48544 52688 54464 58384 60352 65504 69782 75739 83927 97088 105376 116768 131008 135013 139564 151478 167854 210752 233536 270026 279128 302956 335708 540052 558256 605912 671416 1080104 1116512 1211824 1342832 2160208 2233024 2423648 2685664 3105299 4320416 4847296 5371328 6210598 8640832 12421196 24842392 49684784 99369568 198739136