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163100256 = 25311219739
BaseRepresentation
bin10011011100010…
…11011001100000
3102100220100111020
421232023121200
5313223202011
624103445440
74020220644
oct1156133140
9370810436
10163100256
118407a700
1246756880
1327a37937
1417938c24
15e4bb006
hex9b8b660

163100256 has 144 divisors (see below), whose sum is σ = 496036800. Its totient is φ = 46759680.

The previous prime is 163100251. The next prime is 163100279. The reversal of 163100256 is 652001361.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163100251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220335 + ... + 221073.

It is an arithmetic number, because the mean of its divisors is an integer number (3444700).

Almost surely, 2163100256 is an apocalyptic number.

163100256 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 163100256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248018400).

163100256 is an abundant number, since it is smaller than the sum of its proper divisors (332936544).

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

163100256 is a wasteful number, since it uses less digits than its factorization.

163100256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 163100256 is about 12771.0710592338. The cubic root of 163100256 is about 546.3675288517.

The spelling of 163100256 in words is "one hundred sixty-three million, one hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 121 132 152 176 209 228 242 264 304 352 363 418 456 484 528 608 627 726 739 836 912 968 1056 1254 1452 1478 1672 1824 1936 2217 2299 2508 2904 2956 3344 3872 4434 4598 5016 5808 5912 6688 6897 8129 8868 9196 10032 11616 11824 13794 14041 16258 17736 18392 20064 23648 24387 27588 28082 32516 35472 36784 42123 48774 55176 56164 65032 70944 73568 84246 89419 97548 110352 112328 130064 154451 168492 178838 195096 220704 224656 260128 268257 308902 336984 357676 390192 449312 463353 536514 617804 673968 715352 780384 926706 1073028 1235608 1347936 1430704 1698961 1853412 2146056 2471216 2861408 3397922 3706824 4292112 4942432 5096883 6795844 7413648 8584224 10193766 13591688 14827296 20387532 27183376 40775064 54366752 81550128 163100256