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20034120 = 2335732287
BaseRepresentation
bin100110001101…
…1001001001000
31101200211122110
41030123021020
520112042440
61553222320
7332200341
oct114331110
941624573
1020034120
1110343a27
1268619a0
1341c5b12
1429370c8
151b5b080
hex131b248

20034120 has 64 divisors (see below), whose sum is σ = 60952320. Its totient is φ = 5266944.

The previous prime is 20034107. The next prime is 20034121. The reversal of 20034120 is 2143002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20034096 and 20034105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034121) 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, 7617 + ... + 9903.

It is an arithmetic number, because the mean of its divisors is an integer number (952380).

Almost surely, 220034120 is an apocalyptic number.

20034120 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 20034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30476160).

20034120 is an abundant number, since it is smaller than the sum of its proper divisors (40918200).

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

20034120 is a wasteful number, since it uses less digits than its factorization.

20034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20034120 is about 4475.9490613723. The cubic root of 20034120 is about 271.5960338451.

Adding to 20034120 its reverse (2143002), we get a palindrome (22177122).

The spelling of 20034120 in words is "twenty million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2287 2920 4380 4574 6861 8760 9148 11435 13722 18296 22870 27444 34305 45740 54888 68610 91480 137220 166951 274440 333902 500853 667804 834755 1001706 1335608 1669510 2003412 2504265 3339020 4006824 5008530 6678040 10017060 20034120