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1050050120 = 23576535743
BaseRepresentation
bin111110100101100…
…111111001001000
32201011212001222012
4332211213321020
54122303100440
6252110115052
735010164420
oct7645477110
92634761865
101050050120
114997a9219
122537aba88
13139712342
149d659480
15622bae65
hex3e967e48

1050050120 has 64 divisors (see below), whose sum is σ = 2704734720. Its totient is φ = 359403264.

The previous prime is 1050050117. The next prime is 1050050161. The reversal of 1050050120 is 210500501.

It is a super-2 number, since 2×10500501202 = 2205210509024028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1050050095 and 1050050104.

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 15 ways as a sum of consecutive naturals, for example, 179969 + ... + 185711.

It is an arithmetic number, because the mean of its divisors is an integer number (42261480).

Almost surely, 21050050120 is an apocalyptic number.

1050050120 is a gapful number since it is divisible by the number (10) 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 1050050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352367360).

1050050120 is an abundant number, since it is smaller than the sum of its proper divisors (1654684600).

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

1050050120 is a wasteful number, since it uses less digits than its factorization.

1050050120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 1050050120 is about 32404.4768512007. The cubic root of 1050050120 is about 1016.4125285529.

Adding to 1050050120 its reverse (210500501), we get a palindrome (1260550621).

The spelling of 1050050120 in words is "one billion, fifty million, fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 653 1306 2612 3265 4571 5224 5743 6530 9142 11486 13060 18284 22855 22972 26120 28715 36568 40201 45710 45944 57430 80402 91420 114860 160804 182840 201005 229720 321608 402010 804020 1608040 3750179 7500358 15000716 18750895 26251253 30001432 37501790 52502506 75003580 105005012 131256265 150007160 210010024 262512530 525025060 1050050120