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20144700 = 223552829
BaseRepresentation
bin100110011011…
…0001000111100
31101220110100000
41030312020330
520124112300
61555434300
7333140622
oct114661074
941813300
1020144700
111040a014
1268b5990
134234254
142965512
151b7dc00
hex133623c

20144700 has 108 divisors (see below), whose sum is σ = 65560040. Its totient is φ = 5365440.

The previous prime is 20144671. The next prime is 20144737. The reversal of 20144700 is 744102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23886 + ... + 24714.

Almost surely, 220144700 is an apocalyptic number.

20144700 is a gapful number since it is divisible by the number (20) 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 20144700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32780020).

20144700 is an abundant number, since it is smaller than the sum of its proper divisors (45415340).

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

20144700 is a wasteful number, since it uses less digits than its factorization.

20144700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20144700 is about 4488.2847503250. The cubic root of 20144700 is about 272.0948162810.

Adding to 20144700 its reverse (744102), we get a palindrome (20888802).

The spelling of 20144700 in words is "twenty million, one hundred forty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 829 900 972 1215 1350 1620 1658 2025 2430 2487 2700 3316 4050 4145 4860 4974 6075 7461 8100 8290 9948 12150 12435 14922 16580 20725 22383 24300 24870 29844 37305 41450 44766 49740 62175 67149 74610 82900 89532 111915 124350 134298 149220 186525 201447 223830 248700 268596 335745 373050 402894 447660 559575 671490 746100 805788 1007235 1119150 1342980 1678725 2014470 2238300 3357450 4028940 5036175 6714900 10072350 20144700