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20003152 = 2413175657
BaseRepresentation
bin100110001001…
…1100101010000
31101122021011111
41030103211100
520110100102
61552423104
7332011141
oct114234520
941567144
1020003152
1110322734
126847a94
1341b49b0
142929ac8
151b51cd7
hex1313950

20003152 has 40 divisors (see below), whose sum is σ = 44200296. Its totient is φ = 8687616.

The previous prime is 20003149. The next prime is 20003161. The reversal of 20003152 is 25130002.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 19749136 = 504^2 + 4444^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 708 + ... + 6364.

Almost surely, 220003152 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 20003152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22100148).

20003152 is an abundant number, since it is smaller than the sum of its proper divisors (24197144).

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

20003152 is a wasteful number, since it uses less digits than its factorization.

20003152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 20003152 is about 4472.4883454292. The cubic root of 20003152 is about 271.4560206510.

Adding to 20003152 its reverse (25130002), we get a palindrome (45133154).

The spelling of 20003152 in words is "twenty million, three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 5657 11314 22628 45256 73541 90512 96169 147082 192338 294164 384676 588328 769352 1176656 1250197 1538704 2500394 5000788 10001576 20003152