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20872432 = 247279337
BaseRepresentation
bin100111110011…
…1110011110000
31110021102121001
41033213303300
520320404212
62023211344
7342261400
oct117476360
943242531
1020872432
1110866849
126ba6b54
13442a569
142ab4800
151c74657
hex13e7cf0

20872432 has 60 divisors (see below), whose sum is σ = 47779680. Its totient is φ = 8805888.

The previous prime is 20872429. The next prime is 20872433. The reversal of 20872432 is 23427802.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 20872432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20872433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61768 + ... + 62104.

It is an arithmetic number, because the mean of its divisors is an integer number (796328).

Almost surely, 220872432 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 20872432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23889840).

20872432 is an abundant number, since it is smaller than the sum of its proper divisors (26907248).

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

20872432 is a wasteful number, since it uses less digits than its factorization.

20872432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 20872432 is about 4568.6356825643. The cubic root of 20872432 is about 275.3326311068.

The spelling of 20872432 in words is "twenty million, eight hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 196 316 337 392 553 632 674 784 1106 1264 1348 2212 2359 2696 3871 4424 4718 5392 7742 8848 9436 15484 16513 18872 26623 30968 33026 37744 53246 61936 66052 106492 132104 186361 212984 264208 372722 425968 745444 1304527 1490888 2609054 2981776 5218108 10436216 20872432