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20712144 = 2432373257
BaseRepresentation
bin100111100000…
…0101011010000
31102222021201110
41033000223100
520300242034
62015533320
7341023155
oct117005320
942867643
1020712144
1110767382
126b2a240
1343a260b
142a7222c
151c41de9
hex13c0ad0

20712144 has 80 divisors (see below), whose sum is σ = 56817792. Its totient is φ = 6488064.

The previous prime is 20712143. The next prime is 20712151. The reversal of 20712144 is 44121702.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20712144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20712143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80464 + ... + 80720.

Almost surely, 220712144 is an apocalyptic number.

20712144 is a gapful number since it is divisible by the number (24) 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 20712144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28408896).

20712144 is an abundant number, since it is smaller than the sum of its proper divisors (36105648).

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

20712144 is a wasteful number, since it uses less digits than its factorization.

20712144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 20712144 is about 4551.0596568272. The cubic root of 20712144 is about 274.6260216771.

Adding to 20712144 its reverse (44121702), we get a palindrome (64833846).

The spelling of 20712144 in words is "twenty million, seven hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 73 92 138 146 184 219 257 276 292 368 438 514 552 584 771 876 1028 1104 1168 1542 1679 1752 2056 3084 3358 3504 4112 5037 5911 6168 6716 10074 11822 12336 13432 17733 18761 20148 23644 26864 35466 37522 40296 47288 56283 70932 75044 80592 94576 112566 141864 150088 225132 283728 300176 431503 450264 863006 900528 1294509 1726012 2589018 3452024 5178036 6904048 10356072 20712144