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163105280 = 29513329
BaseRepresentation
bin10011011100011…
…00101000000000
3102100220121101022
421232030220000
5313223332110
624103525012
74020241412
oct1156145000
9370817338
10163105280
1184083458
1246759768
1327a3a000
141793a9b2
15e4bc755
hex9b8ca00

163105280 has 160 divisors (see below), whose sum is σ = 438253200. Its totient is φ = 58146816.

The previous prime is 163105279. The next prime is 163105289. The reversal of 163105280 is 82501361.

163105280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10137856 + 152967424 = 3184^2 + 12368^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (163105289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5624306 + ... + 5624334.

Almost surely, 2163105280 is an apocalyptic number.

163105280 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 163105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219126600).

163105280 is an abundant number, since it is smaller than the sum of its proper divisors (275147920).

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

163105280 is an frugal number, since it uses more digits than its factorization.

163105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 163105280 is about 12771.2677522633. The cubic root of 163105280 is about 546.3731387393.

The spelling of 163105280 in words is "one hundred sixty-three million, one hundred five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 169 208 232 256 260 290 320 338 377 416 464 512 520 580 640 676 754 832 845 928 1040 1160 1280 1352 1508 1664 1690 1856 1885 2080 2197 2320 2560 2704 3016 3328 3380 3712 3770 4160 4394 4640 4901 5408 6032 6656 6760 7424 7540 8320 8788 9280 9802 10816 10985 12064 13520 14848 15080 16640 17576 18560 19604 21632 21970 24128 24505 27040 30160 33280 35152 37120 39208 43264 43940 48256 49010 54080 60320 63713 70304 74240 78416 86528 87880 96512 98020 108160 120640 127426 140608 156832 175760 193024 196040 216320 241280 254852 281216 313664 318565 351520 392080 432640 482560 509704 562432 627328 637130 703040 784160 965120 1019408 1124864 1254656 1274260 1406080 1568320 2038816 2509312 2548520 2812160 3136640 4077632 5097040 5624320 6273280 8155264 10194080 12546560 16310528 20388160 32621056 40776320 81552640 163105280