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20874672 = 243571359
BaseRepresentation
bin100111110100…
…0010110110000
31110021112200000
41033220112300
520320442142
62023230000
7342301050
oct117502660
943245600
1020874672
11108684a5
126ba8300
13442b5a0
142ab5560
151c7514c
hex13e85b0

20874672 has 240 divisors, whose sum is σ = 75828480. Its totient is φ = 5412096.

The previous prime is 20874661. The next prime is 20874677. The reversal of 20874672 is 27647802.

It is a super-2 number, since 2×208746722 = 871503862215168, which contains 22 as substring.

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 (20874677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353779 + ... + 353837.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 220874672 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 20874672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37914240).

20874672 is an abundant number, since it is smaller than the sum of its proper divisors (54953808).

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

20874672 is a wasteful number, since it uses less digits than its factorization.

20874672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

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

The square root of 20874672 is about 4568.8808257603. The cubic root of 20874672 is about 275.3424801912.

The spelling of 20874672 in words is "twenty million, eight hundred seventy-four thousand, six hundred seventy-two".