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20252052 = 22332331263
BaseRepresentation
bin100110101000…
…0010110010100
31102002220121000
41031100112110
520141031202
62002023300
7334065612
oct115202624
942086530
1020252052
1110482737
126947b30
134271082
1429926b2
151ba091c
hex1350594

20252052 has 96 divisors (see below), whose sum is σ = 56770560. Its totient is φ = 6225120.

The previous prime is 20252051. The next prime is 20252053. The reversal of 20252052 is 25025202.

It is an interprime number because it is at equal distance from previous prime (20252051) and next prime (20252053).

It is a super-2 number, since 2×202520522 = 820291220421408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20252051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76873 + ... + 77135.

It is an arithmetic number, because the mean of its divisors is an integer number (591360).

Almost surely, 220252052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20252052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28385280).

20252052 is an abundant number, since it is smaller than the sum of its proper divisors (36518508).

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

20252052 is a wasteful number, since it uses less digits than its factorization.

20252052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 20252052 is about 4500.2279942243. The cubic root of 20252052 is about 272.5772953582.

Adding to 20252052 its reverse (25025202), we get a palindrome (45277254).

The spelling of 20252052 in words is "twenty million, two hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 92 93 108 124 138 186 207 263 276 279 372 414 526 558 621 713 789 828 837 1052 1116 1242 1426 1578 1674 2139 2367 2484 2852 3156 3348 4278 4734 6049 6417 7101 8153 8556 9468 12098 12834 14202 16306 18147 19251 24196 24459 25668 28404 32612 36294 38502 48918 54441 72588 73377 77004 97836 108882 146754 163323 187519 217764 220131 293508 326646 375038 440262 562557 653292 750076 880524 1125114 1687671 2250228 3375342 5063013 6750684 10126026 20252052