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20311104 = 2631159163
BaseRepresentation
bin100110101111…
…0110001000000
31102012220121010
41031132301000
520144423404
62003200520
7334433022
oct115366100
942186533
1020311104
1110513040
126976140
134291c08
1429aa012
151bb3189
hex135ec40

20311104 has 112 divisors (see below), whose sum is σ = 59984640. Its totient is φ = 6013440.

The previous prime is 20311103. The next prime is 20311111. The reversal of 20311104 is 40111302.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20311104.

It is not an unprimeable number, because it can be changed into a prime (20311103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124527 + ... + 124689.

Almost surely, 220311104 is an apocalyptic number.

20311104 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 20311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29992320).

20311104 is an abundant number, since it is smaller than the sum of its proper divisors (39673536).

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

20311104 is a wasteful number, since it uses less digits than its factorization.

20311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 20311104 is about 4506.7842193742. The cubic root of 20311104 is about 272.8419700191.

Adding to 20311104 its reverse (40111302), we get a palindrome (60422406).

The spelling of 20311104 in words is "twenty million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 132 163 176 177 192 236 264 326 352 354 472 489 528 649 652 704 708 944 978 1056 1298 1304 1416 1793 1888 1947 1956 2112 2596 2608 2832 3586 3776 3894 3912 5192 5216 5379 5664 7172 7788 7824 9617 10384 10432 10758 11328 14344 15576 15648 19234 20768 21516 28688 28851 31152 31296 38468 41536 43032 57376 57702 62304 76936 86064 105787 114752 115404 124608 153872 172128 211574 230808 307744 317361 344256 423148 461616 615488 634722 846296 923232 1269444 1692592 1846464 2538888 3385184 5077776 6770368 10155552 20311104