Search a number
-
+
163129440 = 25351931577
BaseRepresentation
bin10011011100100…
…10100001100000
3102100221211112010
421232102201200
5313230120230
624104232520
74020402015
oct1156224140
9370854463
10163129440
118409a621
124676b740
1327a47cc6
141794570c
15e4c49b0
hex9b92860

163129440 has 192 divisors, whose sum is σ = 559319040. Its totient is φ = 39813120.

The previous prime is 163129397. The next prime is 163129451. The reversal of 163129440 is 44921361.

It is a super-2 number, since 2×1631294402 = 53222428389427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 163129398 and 163129407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282432 + ... + 283008.

It is an arithmetic number, because the mean of its divisors is an integer number (2913120).

Almost surely, 2163129440 is an apocalyptic number.

163129440 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 163129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279659520).

163129440 is an abundant number, since it is smaller than the sum of its proper divisors (396189600).

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

163129440 is a wasteful number, since it uses less digits than its factorization.

163129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 163129440 is about 12772.2135904470. The cubic root of 163129440 is about 546.4001146150.

It can be divided in two parts, 16312 and 9440, that added together give a palindrome (25752).

The spelling of 163129440 in words is "one hundred sixty-three million, one hundred twenty-nine thousand, four hundred forty".