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163385640 = 233351117809
BaseRepresentation
bin10011011110100…
…01000100101000
3102101102211222000
421233101010220
5313311320030
624113531000
74022516655
oct1157210450
9371384860
10163385640
1184255060
1246873a60
1327b077c2
14179b0c2c
15e525860
hex9bd1128

163385640 has 256 divisors, whose sum is σ = 629856000. Its totient is φ = 37232640.

The previous prime is 163385611. The next prime is 163385641. The reversal of 163385640 is 46583361.

163385640 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 8 + 5 + 640 = 666.

163385640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 163385595 and 163385604.

It is not an unprimeable number, because it can be changed into a prime (163385641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201556 + ... + 202364.

It is an arithmetic number, because the mean of its divisors is an integer number (2460375).

Almost surely, 2163385640 is an apocalyptic number.

163385640 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 163385640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314928000).

163385640 is an abundant number, since it is smaller than the sum of its proper divisors (466470360).

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

163385640 is a wasteful number, since it uses less digits than its factorization.

163385640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 163385640 is about 12782.2392404461. The cubic root of 163385640 is about 546.6860112792.

It can be divided in two parts, 163385 and 640, that added together give a square (164025 = 4052).

The spelling of 163385640 in words is "one hundred sixty-three million, three hundred eighty-five thousand, six hundred forty".