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20240675280 = 2435572329223
BaseRepresentation
bin10010110110011100…
…000011000111010000
31221020121101211200000
4102312130003013100
5312423103102110
613144243530000
71314403621050
oct226634030720
957217354600
1020240675280
118647373a11
123b0a689900
131ba7503c47
14da0255560
157d6e5c1c0
hex4b67031d0

20240675280 has 960 divisors, whose sum is σ = 87354408960. Its totient is φ = 4253534208.

The previous prime is 20240675209. The next prime is 20240675359. The reversal of 20240675280 is 8257604202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90765249 + ... + 90765471.

It is an arithmetic number, because the mean of its divisors is an integer number (90994176).

Almost surely, 220240675280 is an apocalyptic number.

20240675280 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 20240675280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43677204480).

20240675280 is an abundant number, since it is smaller than the sum of its proper divisors (67113733680).

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

20240675280 is a wasteful number, since it uses less digits than its factorization.

20240675280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20240675280 in words is "twenty billion, two hundred forty million, six hundred seventy-five thousand, two hundred eighty".