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198965130 = 235713312351
BaseRepresentation
bin10111101101111…
…11011110001010
3111212101110211220
423312333132022
5401413341010
631424302510
74634114160
oct1366773612
9455343756
10198965130
11a23464a1
1256771a36
13322b4260
141c5d3230
1512702970
hexbdbf78a

198965130 has 128 divisors (see below), whose sum is σ = 606928896. Its totient is φ = 40608000.

The previous prime is 198965119. The next prime is 198965153. The reversal of 198965130 is 31569891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 83455 + ... + 85805.

It is an arithmetic number, because the mean of its divisors is an integer number (4741632).

Almost surely, 2198965130 is an apocalyptic number.

198965130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 14105×14106.

It is a practical number, because each smaller number is the sum of distinct divisors of 198965130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303464448).

198965130 is an abundant number, since it is smaller than the sum of its proper divisors (407963766).

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

198965130 is a wasteful number, since it uses less digits than its factorization.

198965130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412.

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 198965130 is about 14105.4999911382. The cubic root of 198965130 is about 583.7931434930.

The spelling of 198965130 in words is "one hundred ninety-eight million, nine hundred sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 390 403 434 455 465 546 651 806 910 930 1085 1209 1302 1365 2015 2170 2351 2418 2730 2821 3255 4030 4702 5642 6045 6510 7053 8463 11755 12090 14105 14106 16457 16926 23510 28210 30563 32914 35265 42315 49371 61126 70530 72881 82285 84630 91689 98742 145762 152815 164570 183378 213941 218643 246855 305630 364405 427882 437286 458445 493710 510167 641823 728810 916890 947453 1020334 1069705 1093215 1283646 1530501 1894906 2139410 2186430 2550835 2842359 3061002 3209115 4737265 5101670 5684718 6418230 6632171 7652505 9474530 13264342 14211795 15305010 19896513 28423590 33160855 39793026 66321710 99482565 198965130