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20451204 = 2234174779
BaseRepresentation
bin100111000000…
…0111110000100
31102111000210000
41032000332010
520213414304
62010201300
7335555334
oct116007604
942430700
1020451204
11105a9324
126a23230
134310907
142a050c4
151bde939
hex1380f84

20451204 has 120 divisors (see below), whose sum is σ = 58544640. Its totient is φ = 6200064.

The previous prime is 20451203. The next prime is 20451241. The reversal of 20451204 is 40215402.

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

It is not an unprimeable number, because it can be changed into a prime (20451203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258837 + ... + 258915.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 220451204 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 20451204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272320).

20451204 is an abundant number, since it is smaller than the sum of its proper divisors (38093436).

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

20451204 is a wasteful number, since it uses less digits than its factorization.

20451204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20451204 is about 4522.3007418791. The cubic root of 20451204 is about 273.4678609379.

Adding to 20451204 its reverse (40215402), we get a palindrome (60666606).

It can be divided in two parts, 2045 and 1204, that added together give a square (3249 = 572).

The spelling of 20451204 in words is "twenty million, four hundred fifty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 79 81 94 102 108 141 153 158 162 188 204 237 282 306 316 324 423 459 474 564 612 711 799 846 918 948 1269 1343 1377 1422 1598 1692 1836 2133 2397 2538 2686 2754 2844 3196 3713 3807 4029 4266 4794 5076 5372 5508 6399 7191 7426 7614 8058 8532 9588 11139 12087 12798 14382 14852 15228 16116 21573 22278 24174 25596 28764 33417 36261 43146 44556 48348 63121 64719 66834 72522 86292 100251 108783 126242 129438 133668 145044 189363 200502 217566 252484 258876 300753 378726 401004 435132 568089 601506 757452 1136178 1203012 1704267 2272356 3408534 5112801 6817068 10225602 20451204