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20074824 = 23337111771
BaseRepresentation
bin100110010010…
…1000101001000
31101202220111000
41030211011020
520114343244
61554135000
7332430120
oct114450510
941686430
1020074824
1110371570
126881460
13420b4c3
142947c80
151b68169
hex1325148

20074824 has 256 divisors, whose sum is σ = 74649600. Its totient is φ = 4838400.

The previous prime is 20074801. The next prime is 20074843. The reversal of 20074824 is 42847002.

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

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, 282709 + ... + 282779.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 220074824 is an apocalyptic number.

20074824 is a gapful number since it is divisible by the number (24) 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 20074824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

20074824 is an abundant number, since it is smaller than the sum of its proper divisors (54574776).

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

20074824 is a wasteful number, since it uses less digits than its factorization.

20074824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20074824 is about 4480.4937227944. The cubic root of 20074824 is about 271.7798463681.

The spelling of 20074824 in words is "twenty million, seventy-four thousand, eight hundred twenty-four".