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20252032 = 271741227
BaseRepresentation
bin100110101000…
…0010110000000
31102002220120021
41031100112000
520141031112
62002023224
7334065553
oct115202600
942086507
1020252032
1110482719
126947b14
134271068
14299269a
151ba0907
hex1350580

20252032 has 64 divisors (see below), whose sum is σ = 43953840. Its totient is φ = 9256960.

The previous prime is 20252027. The next prime is 20252033. The reversal of 20252032 is 23025202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20251997 and 20252015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20252033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89103 + ... + 89329.

Almost surely, 220252032 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 20252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976920).

20252032 is an abundant number, since it is smaller than the sum of its proper divisors (23701808).

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

20252032 is a wasteful number, since it uses less digits than its factorization.

20252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 20252032 is about 4500.2257721141. The cubic root of 20252032 is about 272.5772056299.

Adding to 20252032 its reverse (23025202), we get a palindrome (43277234).

The spelling of 20252032 in words is "twenty million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 227 272 328 454 544 656 697 908 1088 1312 1394 1816 2176 2624 2788 3632 3859 5248 5576 7264 7718 9307 11152 14528 15436 18614 22304 29056 30872 37228 44608 61744 74456 89216 123488 148912 158219 246976 297824 316438 493952 595648 632876 1191296 1265752 2531504 5063008 10126016 20252032