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163098144 = 2533111312
BaseRepresentation
bin10011011100010…
…10111000100000
3102100220020121000
421232022320200
5313223120034
624103432000
74020211536
oct1156127040
9370806530
10163098144
1184079060
1246755600
1327a369a1
1417938156
15e4ba599
hex9b8ae20

163098144 has 144 divisors (see below), whose sum is σ = 522940320. Its totient is φ = 49046400.

The previous prime is 163098139. The next prime is 163098163. The reversal of 163098144 is 441890361.

163098144 is a `hidden beast` number, since 1 + 630 + 9 + 8 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 163098099 and 163098108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244959 + ... + 1245089.

It is an arithmetic number, because the mean of its divisors is an integer number (3631530).

Almost surely, 2163098144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163098144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261470160).

163098144 is an abundant number, since it is smaller than the sum of its proper divisors (359842176).

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

163098144 is a wasteful number, since it uses less digits than its factorization.

163098144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 163098144 is about 12770.9883720877. The cubic root of 163098144 is about 546.3651705207.

The spelling of 163098144 in words is "one hundred sixty-three million, ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 131 132 144 176 198 216 262 264 288 297 352 393 396 432 524 528 594 786 792 864 1048 1056 1179 1188 1441 1572 1584 2096 2358 2376 2882 3144 3168 3537 4192 4323 4716 4752 5764 6288 7074 8646 9432 9504 11528 12576 12969 14148 17161 17292 18864 23056 25938 28296 34322 34584 37728 38907 46112 51483 51876 56592 68644 69168 77814 102966 103752 113184 137288 138336 154449 155628 188771 205932 207504 274576 308898 311256 377542 411864 415008 463347 549152 566313 617796 622512 755084 823728 926694 1132626 1235592 1245024 1510168 1647456 1698939 1853388 2265252 2471184 3020336 3397878 3706776 4530504 4942368 5096817 6040672 6795756 7413552 9061008 10193634 13591512 14827104 18122016 20387268 27183024 40774536 54366048 81549072 163098144