Search a number
-
+
162055296 = 2733133607
BaseRepresentation
bin10011010100011…
…00010010000000
3102021221021002000
421222030102000
5312441232141
624025224000
74005306264
oct1152142200
9367837060
10162055296
11835265a7
1246332000
1327760110
14177460a4
15e3615b6
hex9a8c480

162055296 has 128 divisors (see below), whose sum is σ = 515222400. Its totient is φ = 49849344.

The previous prime is 162055213. The next prime is 162055331. The reversal of 162055296 is 692550261.

162055296 is a `hidden beast` number, since 1 + 620 + 5 + 5 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 162055296.

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, 43125 + ... + 46731.

It is an arithmetic number, because the mean of its divisors is an integer number (4025175).

Almost surely, 2162055296 is an apocalyptic number.

162055296 is a gapful number since it is divisible by the number (16) 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 162055296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257611200).

162055296 is an abundant number, since it is smaller than the sum of its proper divisors (353167104).

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

162055296 is a wasteful number, since it uses less digits than its factorization.

162055296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 162055296 is about 12730.0941080575. The cubic root of 162055296 is about 545.1981951769.

The spelling of 162055296 in words is "one hundred sixty-two million, fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3607 3744 4992 5616 7214 7488 10821 11232 14428 14976 21642 22464 28856 32463 43284 44928 46891 57712 64926 86568 93782 97389 115424 129852 140673 173136 187564 194778 230848 259704 281346 346272 375128 389556 422019 461696 519408 562692 692544 750256 779112 844038 1038816 1125384 1266057 1385088 1500512 1558224 1688076 2077632 2250768 2532114 3001024 3116448 3376152 4155264 4501536 5064228 6002048 6232896 6752304 9003072 10128456 12465792 13504608 18006144 20256912 27009216 40513824 54018432 81027648 162055296