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163164160 = 212531257
BaseRepresentation
bin10011011100110…
…11000000000000
3102101000121011001
421232123000000
5313232223120
624105101344
74020605155
oct1156330000
9371017131
10163164160
1184113715
1246787854
1327a5aa53
141795422c
15e4cee0a
hex9b9b000

163164160 has 104 divisors (see below), whose sum is σ = 405749376. Its totient is φ = 62914560.

The previous prime is 163164149. The next prime is 163164161. The reversal of 163164160 is 61461361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163164161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634752 + ... + 635008.

Almost surely, 2163164160 is an apocalyptic number.

163164160 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 163164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202874688).

163164160 is an abundant number, since it is smaller than the sum of its proper divisors (242585216).

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

163164160 is an equidigital number, since it uses as much as digits as its factorization.

163164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 163164160 is about 12773.5727187033. The cubic root of 163164160 is about 546.4388766072.

The spelling of 163164160 in words is "one hundred sixty-three million, one hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 257 310 320 496 512 514 620 640 992 1024 1028 1240 1280 1285 1984 2048 2056 2480 2560 2570 3968 4096 4112 4960 5120 5140 7936 7967 8224 9920 10240 10280 15872 15934 16448 19840 20480 20560 31744 31868 32896 39680 39835 41120 63488 63736 65792 79360 79670 82240 126976 127472 131584 158720 159340 164480 254944 263168 317440 318680 328960 509888 526336 634880 637360 657920 1019776 1052672 1274720 1315840 2039552 2549440 2631680 4079104 5098880 5263360 8158208 10197760 16316416 20395520 32632832 40791040 81582080 163164160