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20171298240 = 2633531127593
BaseRepresentation
bin10010110010010011…
…011001010111000000
31221001202212010021000
4102302103121113000
5312302323020430
613133324532000
71312602130452
oct226223312700
957052763230
1020171298240
118611198a15
123aab3b1000
131b96022b42
14d94d562d2
157d0d05e60
hex4b24d95c0

20171298240 has 448 divisors, whose sum is σ = 74158571520. Its totient is φ = 5155799040.

The previous prime is 20171298229. The next prime is 20171298293. The reversal of 20171298240 is 4289217102.

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 = 20171298195 and 20171298204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34015384 + ... + 34015976.

Almost surely, 220171298240 is an apocalyptic number.

20171298240 is a gapful number since it is divisible by the number (20) 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 20171298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37079285760).

20171298240 is an abundant number, since it is smaller than the sum of its proper divisors (53987273280).

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

20171298240 is a wasteful number, since it uses less digits than its factorization.

20171298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20171298240 in words is "twenty billion, one hundred seventy-one million, two hundred ninety-eight thousand, two hundred forty".