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163485120 = 2635198963
BaseRepresentation
bin10011011111010…
…01010111000000
3102101121220102110
421233221113000
5313323010440
624120015320
74023413001
oct1157512700
9371556373
10163485120
1184312877
1246901540
1327b40b76
14179d91a8
15e545080
hex9be95c0

163485120 has 112 divisors (see below), whose sum is σ = 546445440. Its totient is φ = 41296896.

The previous prime is 163485083. The next prime is 163485143. The reversal of 163485120 is 21584361.

163485120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1634851202 = 53454768922828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13759 + ... + 22721.

Almost surely, 2163485120 is an apocalyptic number.

163485120 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 163485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273222720).

163485120 is an abundant number, since it is smaller than the sum of its proper divisors (382960320).

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

163485120 is a wasteful number, since it uses less digits than its factorization.

163485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9002 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 163485120 is about 12786.1299852614. The cubic root of 163485120 is about 546.7969416534.

The spelling of 163485120 in words is "one hundred sixty-three million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 8963 9120 17926 18240 26889 35852 44815 53778 71704 89630 107556 134445 143408 170297 179260 215112 268890 286816 340594 358520 430224 510891 537780 573632 681188 717040 851485 860448 1021782 1075560 1362376 1434080 1702970 1720896 2043564 2151120 2554455 2724752 2868160 3405940 4087128 4302240 5108910 5449504 6811880 8174256 8604480 10217820 10899008 13623760 16348512 20435640 27247520 32697024 40871280 54495040 81742560 163485120