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20311872 = 2637217127
BaseRepresentation
bin100110101111…
…0111101000000
31102012221122120
41031132331000
520144434442
62003204240
7334435200
oct115367500
942187576
1020311872
1110513679
126976680
134292379
1429aa400
151bb34ec
hex135ef40

20311872 has 168 divisors, whose sum is σ = 66714624. Its totient is φ = 5419008.

The previous prime is 20311859. The next prime is 20311877. The reversal of 20311872 is 27811302.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159873 + ... + 159999.

Almost surely, 220311872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33357312).

20311872 is an abundant number, since it is smaller than the sum of its proper divisors (46402752).

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

20311872 is a wasteful number, since it uses less digits than its factorization.

20311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 20311872 is about 4506.8694234468. The cubic root of 20311872 is about 272.8454088605.

The spelling of 20311872 in words is "twenty million, three hundred eleven thousand, eight hundred seventy-two".