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163355120 = 24531199331
BaseRepresentation
bin10011011110010…
…01100111110000
3102101101022002122
421233021213300
5313304330440
624113133412
74022331665
oct1157114760
9371338078
10163355120
1184234135
124685a268
1327ac6946
14179a3a6c
15e51b7b5
hex9bc99f0

163355120 has 80 divisors (see below), whose sum is σ = 395212800. Its totient is φ = 62726400.

The previous prime is 163355119. The next prime is 163355149. The reversal of 163355120 is 21553361.

163355120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 163355120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493355 + ... + 493685.

It is an arithmetic number, because the mean of its divisors is an integer number (4940160).

Almost surely, 2163355120 is an apocalyptic number.

163355120 is a gapful number since it is divisible by the number (10) 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 163355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197606400).

163355120 is an abundant number, since it is smaller than the sum of its proper divisors (231857680).

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

163355120 is a wasteful number, since it uses less digits than its factorization.

163355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 163355120 is about 12781.0453406597. The cubic root of 163355120 is about 546.6519693319.

The spelling of 163355120 in words is "one hundred sixty-three million, three hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 199 248 310 331 398 496 620 662 796 995 1240 1324 1592 1655 1990 2480 2648 3184 3310 3980 5296 6169 6620 7960 10261 12338 13240 15920 20522 24676 26480 30845 41044 49352 51305 61690 65869 82088 98704 102610 123380 131738 164176 205220 246760 263476 329345 410440 493520 526952 658690 820880 1053904 1317380 2041939 2634760 4083878 5269520 8167756 10209695 16335512 20419390 32671024 40838780 81677560 163355120