Search a number
-
+
20755512 = 2332417989
BaseRepresentation
bin100111100101…
…1010000111000
31110001111012200
41033023100320
520303134022
62020510200
7341263461
oct117132070
943044180
1020755512
1110796a18
126b4b360
1343b928b
142a83d68
151c4ebac
hex13cb438

20755512 has 96 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 6589440.

The previous prime is 20755507. The next prime is 20755517. The reversal of 20755512 is 21555702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20755507) and next prime (20755517).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20755517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233164 + ... + 233252.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 220755512 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 20755512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

20755512 is an abundant number, since it is smaller than the sum of its proper divisors (38212488).

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

20755512 is a wasteful number, since it uses less digits than its factorization.

20755512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 20755512 is about 4555.8217699993. The cubic root of 20755512 is about 274.8175627429.

The spelling of 20755512 in words is "twenty million, seven hundred fifty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 79 82 89 123 158 164 178 237 246 267 316 328 356 369 474 492 534 632 711 712 738 801 948 984 1068 1422 1476 1602 1896 2136 2844 2952 3204 3239 3649 5688 6408 6478 7031 7298 9717 10947 12956 14062 14596 19434 21093 21894 25912 28124 29151 29192 32841 38868 42186 43788 56248 58302 63279 65682 77736 84372 87576 116604 126558 131364 168744 233208 253116 262728 288271 506232 576542 864813 1153084 1729626 2306168 2594439 3459252 5188878 6918504 10377756 20755512