Search a number
-
+
20748672 = 273273183
BaseRepresentation
bin100111100100…
…1100110000000
31110001010211100
41033021212000
520302424142
62020414400
7341234520
oct117114600
943033740
1020748672
111079186a
126b47400
1343b6129
142a81680
151c4cb4c
hex13c9980

20748672 has 192 divisors, whose sum is σ = 71285760. Its totient is φ = 5667840.

The previous prime is 20748617. The next prime is 20748677. The reversal of 20748672 is 27684702.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20748677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249943 + ... + 250025.

It is an arithmetic number, because the mean of its divisors is an integer number (371280).

Almost surely, 220748672 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 20748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35642880).

20748672 is an abundant number, since it is smaller than the sum of its proper divisors (50537088).

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

20748672 is a wasteful number, since it uses less digits than its factorization.

20748672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 20748672 is about 4555.0710203025. The cubic root of 20748672 is about 274.7873706240.

The spelling of 20748672 in words is "twenty million, seven hundred forty-eight thousand, six hundred seventy-two".