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161200050 = 235211151647
BaseRepresentation
bin10011001101110…
…11011110110010
3102020022210220020
421212323132302
5312231400200
623555024310
73665114664
oct1146733662
9366283806
10161200050
1182aa1a90
1245b9b096
1327520a5b
14175a2534
15e242ea0
hex99bb7b2

161200050 has 96 divisors (see below), whose sum is σ = 439686144. Its totient is φ = 38760000.

The previous prime is 161200049. The next prime is 161200063. The reversal of 161200050 is 50002161.

It is a super-2 number, since 2×1612000502 = 51970912240005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248827 + ... + 249473.

It is an arithmetic number, because the mean of its divisors is an integer number (4580064).

Almost surely, 2161200050 is an apocalyptic number.

161200050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161200050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219843072).

161200050 is an abundant number, since it is smaller than the sum of its proper divisors (278486094).

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

161200050 is a wasteful number, since it uses less digits than its factorization.

161200050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 161200050 is about 12696.4581675363. The cubic root of 161200050 is about 544.2374094419.

Subtracting from 161200050 its product of nonzero digits (60), we obtain a triangular number (161199990 = T17955).

The spelling of 161200050 in words is "one hundred sixty-one million, two hundred thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 151 165 275 302 330 453 550 647 755 825 906 1294 1510 1650 1661 1941 2265 3235 3322 3775 3882 4530 4983 6470 7117 7550 8305 9705 9966 11325 14234 16175 16610 19410 21351 22650 24915 32350 35585 41525 42702 48525 49830 71170 83050 97050 97697 106755 124575 177925 195394 213510 249150 293091 355850 488485 533775 586182 976970 1067550 1074667 1465455 2149334 2442425 2930910 3224001 4884850 5373335 6448002 7327275 10746670 14654550 16120005 26866675 32240010 53733350 80600025 161200050