Search a number
-
+
163117680 = 243511241137
BaseRepresentation
bin10011011100011…
…11101001110000
3102100221020101120
421232033221300
5313224231210
624104102240
74020322515
oct1156175160
9370836346
10163117680
1184091800
1246764980
1327a4284b
141794130c
15e4c1270
hex9b8fa70

163117680 has 240 divisors, whose sum is σ = 573525792. Its totient is φ = 38297600.

The previous prime is 163117667. The next prime is 163117693. The reversal of 163117680 is 86711361.

It is an interprime number because it is at equal distance from previous prime (163117667) and next prime (163117693).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1190572 + ... + 1190708.

Almost surely, 2163117680 is an apocalyptic number.

163117680 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 163117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286762896).

163117680 is an abundant number, since it is smaller than the sum of its proper divisors (410408112).

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

163117680 is a wasteful number, since it uses less digits than its factorization.

163117680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 163117680 is about 12771.7532077628. The cubic root of 163117680 is about 546.3869843062.

The spelling of 163117680 in words is "one hundred sixty-three million, one hundred seventeen thousand, six hundred eighty".