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163106190 = 233513311499
BaseRepresentation
bin10011011100011…
…00110110001110
3102100220122122000
421232030312032
5313223344230
624103533130
74020244152
oct1156146616
9370818560
10163106190
1184084105
124675a1a6
1327a3a550
141793b062
15e4bcb60
hex9b8cd8e

163106190 has 128 divisors (see below), whose sum is σ = 483840000. Its totient is φ = 38828160.

The previous prime is 163106173. The next prime is 163106191. The reversal of 163106190 is 91601361.

163106190 is a `hidden beast` number, since 16 + 31 + 0 + 619 + 0 = 666.

It is a super-2 number, since 2×1631061902 = 53207258432632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163106191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108061 + ... + 109559.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2163106190 is an apocalyptic number.

163106190 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 163106190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920000).

163106190 is an abundant number, since it is smaller than the sum of its proper divisors (320733810).

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

163106190 is a wasteful number, since it uses less digits than its factorization.

163106190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 163106190 is about 12771.3033790604. The cubic root of 163106190 is about 546.3741548491.

It can be divided in two parts, 16310 and 6190, that added together give a square (22500 = 1502).

The spelling of 163106190 in words is "one hundred sixty-three million, one hundred six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 90 93 117 130 135 155 186 195 234 270 279 310 351 390 403 465 558 585 702 806 837 930 1170 1209 1395 1499 1674 1755 2015 2418 2790 2998 3510 3627 4030 4185 4497 6045 7254 7495 8370 8994 10881 12090 13491 14990 18135 19487 21762 22485 26982 36270 38974 40473 44970 46469 54405 58461 67455 80946 92938 97435 108810 116922 134910 139407 175383 194870 202365 232345 278814 292305 350766 404730 418221 464690 526149 584610 604097 697035 836442 876915 1052298 1208194 1254663 1394070 1753830 1812291 2091105 2509326 2630745 3020485 3624582 4182210 5261490 5436873 6040970 6273315 9061455 10873746 12546630 16310619 18122910 27184365 32621238 54368730 81553095 163106190