Search a number
-
+
20211504 = 2431723147
BaseRepresentation
bin100110100011…
…0011100110000
31102000211222020
41031012130300
520133232004
62001111440
7333536445
oct115063460
942024866
1020211504
1110455225
126928580
134258791
1429819cc
151b938d9
hex1346730

20211504 has 120 divisors (see below), whose sum is σ = 58472448. Its totient is φ = 6005760.

The previous prime is 20211493. The next prime is 20211517. The reversal of 20211504 is 40511202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430009 + ... + 430055.

Almost surely, 220211504 is an apocalyptic number.

20211504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29236224).

20211504 is an abundant number, since it is smaller than the sum of its proper divisors (38260944).

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

20211504 is a wasteful number, since it uses less digits than its factorization.

20211504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 20211504 is about 4495.7206318898. The cubic root of 20211504 is about 272.3952586822.

Adding to 20211504 its reverse (40511202), we get a palindrome (60722706).

The spelling of 20211504 in words is "twenty million, two hundred eleven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 47 48 51 62 68 93 94 102 124 136 141 186 188 204 248 272 282 289 372 376 408 496 527 564 578 744 752 799 816 867 1054 1128 1156 1457 1488 1581 1598 1734 2108 2256 2312 2397 2914 3162 3196 3468 4216 4371 4624 4794 5828 6324 6392 6936 8432 8742 8959 9588 11656 12648 12784 13583 13872 17484 17918 19176 23312 24769 25296 26877 27166 34968 35836 38352 40749 49538 53754 54332 69936 71672 74307 81498 99076 107508 108664 143344 148614 162996 198152 215016 217328 297228 325992 396304 421073 430032 594456 651984 842146 1188912 1263219 1684292 2526438 3368584 5052876 6737168 10105752 20211504