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20200152 = 2337289193
BaseRepresentation
bin100110100001…
…1101011011000
31102000021101210
41031003223120
520132401102
62000543120
7333461400
oct115035330
942007353
1020200152
1110447745
126921aa0
13425356b
14297b800
151b9036c
hex1343ad8

20200152 has 96 divisors (see below), whose sum is σ = 59713200. Its totient is φ = 5677056.

The previous prime is 20200133. The next prime is 20200157. The reversal of 20200152 is 25100202.

It is a super-2 number, since 2×202001522 = 816092281646208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104568 + ... + 104760.

Almost surely, 220200152 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 20200152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29856600).

20200152 is an abundant number, since it is smaller than the sum of its proper divisors (39513048).

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

20200152 is a wasteful number, since it uses less digits than its factorization.

20200152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 20200152 is about 4494.4579205951. The cubic root of 20200152 is about 272.3442512612.

Adding to 20200152 its reverse (25100202), we get a palindrome (45300354).

The spelling of 20200152 in words is "twenty million, two hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 89 98 147 168 178 193 196 267 294 356 386 392 534 579 588 623 712 772 1068 1158 1176 1246 1351 1544 1869 2136 2316 2492 2702 3738 4053 4361 4632 4984 5404 7476 8106 8722 9457 10808 13083 14952 16212 17177 17444 18914 26166 28371 32424 34354 34888 37828 51531 52332 56742 68708 75656 103062 104664 113484 120239 137416 206124 226968 240478 360717 412248 480956 721434 841673 961912 1442868 1683346 2525019 2885736 3366692 5050038 6733384 10100076 20200152