Search a number
-
+
16535064 = 23371367113
BaseRepresentation
bin111111000100…
…111000011000
31011010001211210
4333010320120
513213110224
61350223120
7260355120
oct77047030
934101753
1016535064
119374047
125654aa0
13356c280
1422a5c80
1516b9429
hexfc4e18

16535064 has 128 divisors (see below), whose sum is σ = 52093440. Its totient is φ = 4257792.

The previous prime is 16535053. The next prime is 16535093. The reversal of 16535064 is 46053561.

16535064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146272 + ... + 146384.

It is an arithmetic number, because the mean of its divisors is an integer number (406980).

Almost surely, 216535064 is an apocalyptic number.

16535064 is a gapful number since it is divisible by the number (14) 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 16535064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26046720).

16535064 is an abundant number, since it is smaller than the sum of its proper divisors (35558376).

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

16535064 is a wasteful number, since it uses less digits than its factorization.

16535064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 16535064 is about 4066.3329917753. The cubic root of 16535064 is about 254.7623776402.

The spelling of 16535064 in words is "sixteen million, five hundred thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 67 78 84 91 104 113 134 156 168 182 201 226 268 273 312 339 364 402 452 469 536 546 678 728 791 804 871 904 938 1092 1356 1407 1469 1582 1608 1742 1876 2184 2373 2613 2712 2814 2938 3164 3484 3752 4407 4746 5226 5628 5876 6097 6328 6968 7571 8814 9492 10283 10452 11256 11752 12194 15142 17628 18291 18984 20566 20904 22713 24388 30284 30849 35256 36582 41132 45426 48776 52997 60568 61698 73164 82264 90852 98423 105994 123396 146328 158991 181704 196846 211988 246792 295269 317982 393692 423976 590538 635964 688961 787384 1181076 1271928 1377922 2066883 2362152 2755844 4133766 5511688 8267532 16535064