Search a number
-
+
165149568 = 2732232271
BaseRepresentation
bin10011101011111…
…11101110000000
3102111202110121200
421311333232000
5314234241233
624215421200
74043514423
oct1165775600
9374673550
10165149568
118524a351
1247384800
13282a464c
1417d0d9ba
15e773313
hex9d7fb80

165149568 has 144 divisors (see below), whose sum is σ = 498629040. Its totient is φ = 52462080.

The previous prime is 165149531. The next prime is 165149597. The reversal of 165149568 is 865941561.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 609273 + ... + 609543.

Almost surely, 2165149568 is an apocalyptic number.

165149568 is a gapful number since it is divisible by the number (18) 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 165149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249314520).

165149568 is an abundant number, since it is smaller than the sum of its proper divisors (333479472).

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

165149568 is a wasteful number, since it uses less digits than its factorization.

165149568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 299 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 165149568 is about 12851.0531864124. The cubic root of 165149568 is about 548.6463327778.

The spelling of 165149568 in words is "one hundred sixty-five million, one hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 271 276 288 368 384 414 529 542 552 576 736 813 828 1058 1084 1104 1152 1472 1587 1626 1656 2116 2168 2208 2439 2944 3174 3252 3312 4232 4336 4416 4761 4878 6233 6348 6504 6624 8464 8672 8832 9522 9756 12466 12696 13008 13248 16928 17344 18699 19044 19512 24932 25392 26016 26496 33856 34688 37398 38088 39024 49864 50784 52032 56097 67712 74796 76176 78048 99728 101568 104064 112194 143359 149592 152352 156096 199456 203136 224388 286718 299184 304704 312192 398912 430077 448776 573436 598368 609408 797824 860154 897552 1146872 1196736 1290231 1720308 1795104 2293744 2393472 2580462 3440616 3590208 4587488 5160924 6881232 7180416 9174976 10321848 13762464 18349952 20643696 27524928 41287392 55049856 82574784 165149568