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20281732020 = 223351121719312
BaseRepresentation
bin10010111000111000…
…101010101110110100
31221100110122201221000
4102320320222232310
5313014110411040
613152311523300
71315412610024
oct227070525664
957313581830
1020281732020
118668566500
123b20389530
131bb2b7a784
14da58a1a84
157da86c130
hex4b8e2abb4

20281732020 has 864 divisors, whose sum is σ = 79875331200. Its totient is φ = 4242585600.

The previous prime is 20281732019. The next prime is 20281732021. The reversal of 20281732020 is 2023718202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20281732019) and next prime (20281732021).

It is a super-2 number, since 2×202817320202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20281732021) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 654249405 + ... + 654249435.

It is an arithmetic number, because the mean of its divisors is an integer number (92448300).

Almost surely, 220281732020 is an apocalyptic number.

20281732020 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 20281732020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39937665600).

20281732020 is an abundant number, since it is smaller than the sum of its proper divisors (59593599180).

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

20281732020 is a wasteful number, since it uses less digits than its factorization.

20281732020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 20281732020 in words is "twenty billion, two hundred eighty-one million, seven hundred thirty-two thousand, twenty".