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20726172 = 2233434463
BaseRepresentation
bin100111100010…
…0000110011100
31102222222222000
41033010012130
520301214142
62020122300
7341112105
oct117040634
942888860
1020726172
1110776975
126b36390
1343a8b0c
142a773ac
151c4614c
hex13c419c

20726172 has 48 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 6746544.

The previous prime is 20726171. The next prime is 20726177. The reversal of 20726172 is 27162702.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20726171) 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 15 ways as a sum of consecutive naturals, for example, 2413 + ... + 6875.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 220726172 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 20726172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

20726172 is an abundant number, since it is smaller than the sum of its proper divisors (34270308).

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

20726172 is a wasteful number, since it uses less digits than its factorization.

20726172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 20726172 is about 4552.6005754953. The cubic root of 20726172 is about 274.6880076054.

Adding to 20726172 its reverse (27162702), we get a palindrome (47888874).

The spelling of 20726172 in words is "twenty million, seven hundred twenty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4463 4644 8926 13389 17852 26778 40167 53556 80334 120501 160668 191909 241002 383818 482004 575727 767636 1151454 1727181 2302908 3454362 5181543 6908724 10363086 20726172