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198642150 = 232527193319
BaseRepresentation
bin10111101011100…
…00100111100110
3111211210001210200
423311300213212
5401323022100
631413331330
74631300430
oct1365604746
9454701720
10198642150
11a2145873
1256636b46
1332200245
141c54b650
151268be00
hexbd709e6

198642150 has 144 divisors (see below), whose sum is σ = 642220800. Its totient is φ = 43001280.

The previous prime is 198642149. The next prime is 198642151. The reversal of 198642150 is 51246891.

198642150 is a `hidden beast` number, since 1 + 9 + 8 + 642 + 1 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (198642149) and next prime (198642151).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198642151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58191 + ... + 61509.

Almost surely, 2198642150 is an apocalyptic number.

198642150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198642150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321110400).

198642150 is an abundant number, since it is smaller than the sum of its proper divisors (443578650).

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

198642150 is a wasteful number, since it uses less digits than its factorization.

198642150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 198642150 is about 14094.0466155040. The cubic root of 198642150 is about 583.4770820339.

The spelling of 198642150 in words is "one hundred ninety-eight million, six hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 25 30 35 38 42 45 50 57 63 70 75 90 95 105 114 126 133 150 171 175 190 210 225 266 285 315 342 350 399 450 475 525 570 630 665 798 855 950 1050 1197 1330 1425 1575 1710 1995 2394 2850 3150 3319 3325 3990 4275 5985 6638 6650 8550 9957 9975 11970 16595 19914 19950 23233 29871 29925 33190 46466 49785 59742 59850 63061 69699 82975 99570 116165 126122 139398 149355 165950 189183 209097 232330 248925 298710 315305 348495 378366 418194 441427 497850 567549 580825 630610 696990 746775 882854 945915 1045485 1135098 1161650 1324281 1493550 1576525 1742475 1891830 2090970 2207135 2648562 2837745 3153050 3484950 3972843 4414270 4729575 5227425 5675490 6621405 7945686 9459150 10454850 11035675 13242810 14188725 19864215 22071350 28377450 33107025 39728430 66214050 99321075 198642150