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20723472 = 2433721189
BaseRepresentation
bin100111100001…
…1011100010000
31102222212021000
41033003130100
520301122342
62020102000
7341101200
oct117033420
942885230
1020723472
1110774940
126b34900
1343a7813
142a76400
151c4544c
hex13c3710

20723472 has 240 divisors, whose sum is σ = 76334400. Its totient is φ = 5322240.

The previous prime is 20723453. The next prime is 20723473. The reversal of 20723472 is 27432702.

20723472 = 1283 + 1293 + ... + 1363.

It is a super-3 number, since 3×207234723 (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20723473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232804 + ... + 232892.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 220723472 is an apocalyptic number.

20723472 is a gapful number since it is divisible by the number (22) 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 20723472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38167200).

20723472 is an abundant number, since it is smaller than the sum of its proper divisors (55610928).

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

20723472 is a wasteful number, since it uses less digits than its factorization.

20723472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20723472 is about 4552.3040320260. The cubic root of 20723472 is about 274.6760792116.

The spelling of 20723472 in words is "twenty million, seven hundred twenty-three thousand, four hundred seventy-two".