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1050750414 = 23372675927
BaseRepresentation
bin111110101000010…
…010110111001110
32201020011122121000
4332220102313032
54122443003124
6252133121130
735016142200
oct7650226716
92636148530
101050750414
1149a13737a
12253a891a6
131398c900c
149d79c770
15623a86c9
hex3ea12dce

1050750414 has 96 divisors (see below), whose sum is σ = 2757231360. Its totient is φ = 295683696.

The previous prime is 1050750403. The next prime is 1050750443. The reversal of 1050750414 is 4140570501.

It is a happy number.

It is a super-2 number, since 2×10507504142 = 2208152865042342792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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, 174319 + ... + 180245.

It is an arithmetic number, because the mean of its divisors is an integer number (28721160).

Almost surely, 21050750414 is an apocalyptic number.

1050750414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050750414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378615680).

1050750414 is an abundant number, since it is smaller than the sum of its proper divisors (1706480946).

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

1050750414 is a wasteful number, since it uses less digits than its factorization.

1050750414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1050750414 is about 32415.2805633393. The cubic root of 1050750414 is about 1016.6384318714.

The spelling of 1050750414 in words is "one billion, fifty million, seven hundred fifty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 67 98 126 134 147 189 201 294 378 402 441 469 603 882 938 1206 1323 1407 1809 2646 2814 3283 3618 4221 5927 6566 8442 9849 11854 12663 17781 19698 25326 29547 35562 41489 53343 59094 82978 88641 106686 124467 160029 177282 248934 290423 320058 373401 397109 580846 746802 794218 871269 1120203 1191327 1742538 2240406 2382654 2613807 2779763 3573981 5227614 5559526 7147962 7841421 8339289 10721943 15682842 16678578 19458341 21443886 25017867 38916682 50035734 58375023 75053601 116750046 150107202 175125069 350250138 525375207 1050750414