[go: up one dir, main page]

Search a number
-
+
163048680 = 23335223677
BaseRepresentation
bin10011011011111…
…10110011101000
3102100210201202000
421231332303220
5313220024210
624102411000
74016614404
oct1155766350
9370721660
10163048680
1184044983
1246730a60
1327a1a312
1417924104
15e4aaac0
hex9b7ece8

163048680 has 128 divisors (see below), whose sum is σ = 546739200. Its totient is φ = 43220736.

The previous prime is 163048667. The next prime is 163048681. The reversal of 163048680 is 86840361.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (163048681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240502 + ... + 241178.

It is an arithmetic number, because the mean of its divisors is an integer number (4271400).

Almost surely, 2163048680 is an apocalyptic number.

163048680 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 163048680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273369600).

163048680 is an abundant number, since it is smaller than the sum of its proper divisors (383690520).

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

163048680 is a wasteful number, since it uses less digits than its factorization.

163048680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 163048680 is about 12769.0516484193. The cubic root of 163048680 is about 546.3099315121.

The spelling of 163048680 in words is "one hundred sixty-three million, forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 223 270 360 446 540 669 677 892 1080 1115 1338 1354 1784 2007 2031 2230 2676 2708 3345 3385 4014 4062 4460 5352 5416 6021 6093 6690 6770 8028 8124 8920 10035 10155 12042 12186 13380 13540 16056 16248 18279 20070 20310 24084 24372 26760 27080 30105 30465 36558 40140 40620 48168 48744 60210 60930 73116 80280 81240 91395 120420 121860 146232 150971 182790 240840 243720 301942 365580 452913 603884 731160 754855 905826 1207768 1358739 1509710 1811652 2264565 2717478 3019420 3623304 4076217 4529130 5434956 6038840 6793695 8152434 9058260 10869912 13587390 16304868 18116520 20381085 27174780 32609736 40762170 54349560 81524340 163048680