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20381504 = 26111317131
BaseRepresentation
bin100110110111…
…1111101000000
31102100111011112
41031233331000
520204202004
62004502452
7335145203
oct115577500
942314145
1020381504
1110560a20
1269aaa28
1342b7c80
1429c793a
151bc8e6e
hex136ff40

20381504 has 112 divisors (see below), whose sum is σ = 50694336. Its totient is φ = 7987200.

The previous prime is 20381489. The next prime is 20381549. The reversal of 20381504 is 40518302.

It is a self number, because there is not a number n which added to its sum of digits gives 20381504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155519 + ... + 155649.

It is an arithmetic number, because the mean of its divisors is an integer number (452628).

Almost surely, 220381504 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 20381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25347168).

20381504 is an abundant number, since it is smaller than the sum of its proper divisors (30312832).

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

20381504 is a wasteful number, since it uses less digits than its factorization.

20381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 20381504 is about 4514.5879103192. The cubic root of 20381504 is about 273.1568376084.

Adding to 20381504 its reverse (40518302), we get a palindrome (60899806).

The spelling of 20381504 in words is "twenty million, three hundred eighty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 131 136 143 176 187 208 221 262 272 286 352 374 416 442 524 544 572 704 748 832 884 1048 1088 1144 1441 1496 1703 1768 2096 2227 2288 2431 2882 2992 3406 3536 4192 4454 4576 4862 5764 5984 6812 7072 8384 8908 9152 9724 11528 11968 13624 14144 17816 18733 19448 23056 24497 27248 28951 35632 37466 38896 46112 48994 54496 57902 71264 74932 77792 92224 97988 108992 115804 142528 149864 155584 195976 231608 299728 318461 391952 463216 599456 636922 783904 926432 1198912 1273844 1567808 1852864 2547688 5095376 10190752 20381504