[go: up one dir, main page]

Search a number
-
+
163140480 = 273551049
BaseRepresentation
bin10011011100101…
…01001110000000
3102100222101200000
421232111032000
5313230443410
624104400000
74020446136
oct1156251600
9370871600
10163140480
11840a7948
1246776000
1327a50039
1417949756
15e4c7dc0
hex9b95380

163140480 has 192 divisors, whose sum is σ = 584766000. Its totient is φ = 43462656.

The previous prime is 163140443. The next prime is 163140499. The reversal of 163140480 is 84041361.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1631404802 = 53229632429260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 154996 + ... + 156044.

Almost surely, 2163140480 is an apocalyptic number.

163140480 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 163140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292383000).

163140480 is an abundant number, since it is smaller than the sum of its proper divisors (421625520).

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

163140480 is an equidigital number, since it uses as much as digits as its factorization.

163140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 163140480 is about 12772.6457713349. The cubic root of 163140480 is about 546.4124404531.

The spelling of 163140480 in words is "one hundred sixty-three million, one hundred forty thousand, four hundred eighty".