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2052302420 = 2257236171033
BaseRepresentation
bin111101001010011…
…1010011001010100
312022000202202122202
41322110322121110
513200342134140
6535351544032
7101600165660
oct17224723124
95260682582
102052302420
11963520203
1249338b018
1326925a73c
141567d18a0
15c0294915
hex7a53a654

2052302420 has 96 divisors (see below), whose sum is σ = 5152992768. Its totient is φ = 671311872.

The previous prime is 2052302401. The next prime is 2052302431. The reversal of 2052302420 is 242032502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2052302392 and 2052302401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1986224 + ... + 1987256.

It is an arithmetic number, because the mean of its divisors is an integer number (53677008).

Almost surely, 22052302420 is an apocalyptic number.

2052302420 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 2052302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576496384).

2052302420 is an abundant number, since it is smaller than the sum of its proper divisors (3100690348).

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

2052302420 is a wasteful number, since it uses less digits than its factorization.

2052302420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2052302420 is about 45302.3445309401. The cubic root of 2052302420 is about 1270.8094990018.

Adding to 2052302420 its reverse (242032502), we get a palindrome (2294334922).

The spelling of 2052302420 in words is "two billion, fifty-two million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 617 644 805 1033 1234 1610 2066 2468 3085 3220 4132 4319 5165 6170 7231 8638 10330 12340 14191 14462 17276 20660 21595 23759 28382 28924 36155 43190 47518 56764 70955 72310 86380 95036 99337 118795 141910 144620 166313 198674 237590 283820 332626 397348 475180 496685 637361 665252 831565 993370 1274722 1663130 1986740 2549444 3186805 3326260 4461527 6373610 8923054 12747220 14659303 17846108 22307635 29318606 44615270 58637212 73296515 89230540 102615121 146593030 205230242 293186060 410460484 513075605 1026151210 2052302420