Search a number
-
+
163128780 = 22325979343
BaseRepresentation
bin10011011100100…
…10010111001100
3102100221210121200
421232102113030
5313230110110
624104225500
74020400053
oct1156222714
9370853550
10163128780
118409a081
124676b290
1327a47909
141794539a
15e4c46c0
hex9b925cc

163128780 has 72 divisors (see below), whose sum is σ = 499978752. Its totient is φ = 43047936.

The previous prime is 163128769. The next prime is 163128827. The reversal of 163128780 is 87821361.

163128780 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1631287802 = 53221997728576800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12789 + ... + 22131.

Almost surely, 2163128780 is an apocalyptic number.

163128780 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 163128780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249989376).

163128780 is an abundant number, since it is smaller than the sum of its proper divisors (336849972).

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

163128780 is a wasteful number, since it uses less digits than its factorization.

163128780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9455 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 163128780 is about 12772.1877530829. The cubic root of 163128780 is about 546.3993777267.

The spelling of 163128780 in words is "one hundred sixty-three million, one hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 9343 17460 18686 28029 37372 46715 56058 84087 93430 112116 140145 168174 186860 280290 336348 420435 560580 840870 906271 1681740 1812542 2718813 3625084 4531355 5437626 8156439 9062710 10875252 13594065 16312878 18125420 27188130 32625756 40782195 54376260 81564390 163128780