Search a number
-
+
163272672 = 25372333
BaseRepresentation
bin10011011101101…
…01011111100000
3102101020010000000
421232311133200
5313244211142
624111300000
74021536423
oct1156653740
9371203000
10163272672
11841881a2
124681a600
1327a98264
14179819ba
15e50214c
hex9bb57e0

163272672 has 96 divisors (see below), whose sum is σ = 482297760. Its totient is φ = 54400896.

The previous prime is 163272671. The next prime is 163272673. The reversal of 163272672 is 276272361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (163272671) and next prime (163272673).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163272671) 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, 68818 + ... + 71150.

It is an arithmetic number, because the mean of its divisors is an integer number (5023935).

Almost surely, 2163272672 is an apocalyptic number.

163272672 is a gapful number since it is divisible by the number (12) 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 163272672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241148880).

163272672 is an abundant number, since it is smaller than the sum of its proper divisors (319025088).

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

163272672 is an frugal number, since it uses more digits than its factorization.

163272672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2338 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 163272672 is about 12777.8195322989. The cubic root of 163272672 is about 546.5599857926.

The spelling of 163272672 in words is "one hundred sixty-three million, two hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2333 2592 2916 3888 4374 4666 5832 6999 7776 8748 9332 11664 13998 17496 18664 20997 23328 27996 34992 37328 41994 55992 62991 69984 74656 83988 111984 125982 167976 188973 223968 251964 335952 377946 503928 566919 671904 755892 1007856 1133838 1511784 1700757 2015712 2267676 3023568 3401514 4535352 5102271 6047136 6803028 9070704 10204542 13606056 18141408 20409084 27212112 40818168 54424224 81636336 163272672