Search a number
-
+
163969280 = 285532417
BaseRepresentation
bin10011100010111…
…11100100000000
3102102112111120022
421301133210000
5313434004110
624134233012
74030500356
oct1161374400
9372474508
10163969280
1184613602
1246ab5768
1327c80357
1417ac37d6
15e5dd755
hex9c5f900

163969280 has 72 divisors (see below), whose sum is σ = 400333752. Its totient is φ = 64323584.

The previous prime is 163969279. The next prime is 163969307. The reversal of 163969280 is 82969361.

It can be written as a sum of positive squares in 4 ways, for example, as 75759616 + 88209664 = 8704^2 + 9392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66632 + ... + 69048.

It is an arithmetic number, because the mean of its divisors is an integer number (5560191).

Almost surely, 2163969280 is an apocalyptic number.

163969280 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 163969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200166876).

163969280 is an abundant number, since it is smaller than the sum of its proper divisors (236364472).

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

163969280 is an equidigital number, since it uses as much as digits as its factorization.

163969280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 163969280 is about 12805.0490042014. The cubic root of 163969280 is about 547.3361880739.

The spelling of 163969280 in words is "one hundred sixty-three million, nine hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1696 2120 2417 3392 4240 4834 6784 8480 9668 12085 13568 16960 19336 24170 33920 38672 48340 67840 77344 96680 128101 154688 193360 256202 309376 386720 512404 618752 640505 773440 1024808 1281010 1546880 2049616 2562020 3093760 4099232 5124040 8198464 10248080 16396928 20496160 32793856 40992320 81984640 163969280