Search a number
-
+
163486440 = 2332513181193
BaseRepresentation
bin10011011111010…
…01101011101000
3102101121222020100
421233221223220
5313323031230
624120025400
74023416565
oct1157515350
9371558210
10163486440
1184313867
1246902260
1327b41650
14179d986c
15e545660
hex9be9ae8

163486440 has 192 divisors, whose sum is σ = 578345040. Its totient is φ = 39813120.

The previous prime is 163486439. The next prime is 163486459. The reversal of 163486440 is 44684361.

163486440 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 8 + 644 + 0 = 666.

163486440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 311364 + 163175076 = 558^2 + 12774^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 163486395 and 163486404.

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, 846984 + ... + 847176.

Almost surely, 2163486440 is an apocalyptic number.

163486440 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 163486440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289172520).

163486440 is an abundant number, since it is smaller than the sum of its proper divisors (414858600).

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

163486440 is a wasteful number, since it uses less digits than its factorization.

163486440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 163486440 is about 12786.1816035907. The cubic root of 163486440 is about 546.7984132859.

The spelling of 163486440 in words is "one hundred sixty-three million, four hundred eighty-six thousand, four hundred forty".