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20034720 = 2532513913
BaseRepresentation
bin100110001101…
…1010010100000
31101200212110200
41030123102200
520112102340
61553225200
7332202156
oct114332240
941625420
1020034720
1110344422
126862200
1341c6184
1429373d6
151b5b330
hex131b4a0

20034720 has 72 divisors (see below), whose sum is σ = 68373396. Its totient is φ = 5342208.

The previous prime is 20034719. The next prime is 20034727. The reversal of 20034720 is 2743002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20034576 + 144 = 4476^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 20034693 and 20034702.

It is not an unprimeable number, because it can be changed into a prime (20034727) 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, 5517 + ... + 8396.

Almost surely, 220034720 is an apocalyptic number.

20034720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20034720 is an abundant number, since it is smaller than the sum of its proper divisors (48338676).

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

20034720 is a wasteful number, since it uses less digits than its factorization.

20034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20034720 is about 4476.0160857620. The cubic root of 20034720 is about 271.5987451528.

Adding to 20034720 its reverse (2743002), we get a palindrome (22777722).

The spelling of 20034720 in words is "twenty million, thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 13913 27826 41739 55652 69565 83478 111304 125217 139130 166956 208695 222608 250434 278260 333912 417390 445216 500868 556520 626085 667824 834780 1001736 1113040 1252170 1335648 1669560 2003472 2226080 2504340 3339120 4006944 5008680 6678240 10017360 20034720