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163909440 = 2633561311
BaseRepresentation
bin10011100010100…
…00111101000000
3102102102110111000
421301100331000
5313430100230
624133052000
74030131042
oct1161207500
9372373430
10163909440
1184582652
1246a87000
1327c5c046
1417aa9a92
15e5cab60
hex9c50f40

163909440 has 224 divisors, whose sum is σ = 589605120. Its totient is φ = 42854400.

The previous prime is 163909439. The next prime is 163909453. The reversal of 163909440 is 44909361.

It is a super-2 number, since 2×1639094402 = 53732609042227200, which contains 22 as substring.

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 = 163909395 and 163909404.

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, 526885 + ... + 527195.

Almost surely, 2163909440 is an apocalyptic number.

163909440 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 163909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294802560).

163909440 is an abundant number, since it is smaller than the sum of its proper divisors (425695680).

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

163909440 is a wasteful number, since it uses less digits than its factorization.

163909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 163909440 is about 12802.7122126524. The cubic root of 163909440 is about 547.2695971803.

The spelling of 163909440 in words is "one hundred sixty-three million, nine hundred nine thousand, four hundred forty".