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20242404 = 223271337167
BaseRepresentation
bin100110100110…
…1111111100100
31102002102100200
41031031333210
520140224104
62001510500
7334025520
oct115157744
942072320
1020242404
1110476466
126942430
134269870
14298cd80
151b9cb39
hex134dfe4

20242404 has 144 divisors (see below), whose sum is σ = 65065728. Its totient is φ = 5163264.

The previous prime is 20242373. The next prime is 20242433. The reversal of 20242404 is 40424202.

20242404 is a `hidden beast` number, since 20 + 242 + 404 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121129 + ... + 121295.

Almost surely, 220242404 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 20242404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32532864).

20242404 is an abundant number, since it is smaller than the sum of its proper divisors (44823324).

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

20242404 is a wasteful number, since it uses less digits than its factorization.

20242404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 20242404 is about 4499.1559208367. The cubic root of 20242404 is about 272.5340035563.

Adding to 20242404 its reverse (40424202), we get a palindrome (60666606).

The spelling of 20242404 in words is "twenty million, two hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 111 117 126 148 156 167 182 222 234 252 259 273 333 334 364 444 468 481 501 518 546 666 668 777 819 962 1002 1036 1092 1169 1332 1443 1503 1554 1638 1924 2004 2171 2331 2338 2886 3006 3108 3276 3367 3507 4329 4342 4662 4676 5772 6012 6179 6513 6734 7014 8658 8684 9324 10101 10521 12358 13026 13468 14028 15197 17316 18537 19539 20202 21042 24716 26052 30303 30394 37074 39078 40404 42084 43253 45591 55611 60606 60788 74148 78156 80327 86506 91182 111222 121212 129759 136773 160654 173012 182364 222444 240981 259518 273546 321308 389277 481962 519036 547092 562289 722943 778554 963924 1124578 1445886 1557108 1686867 2249156 2891772 3373734 5060601 6747468 10121202 20242404