Search a number
-
+
1050566112 = 25343591129
BaseRepresentation
bin111110100111100…
…101110111100000
32201012211021210000
4332213211313200
54122421103422
6252125140000
735014443651
oct7647456740
92635737700
101050566112
1149a020962
122539ba600
1313986316b
149d751528
156236dcac
hex3e9e5de0

1050566112 has 120 divisors (see below), whose sum is σ = 3101036400. Its totient is φ = 348903936.

The previous prime is 1050566059. The next prime is 1050566129. The reversal of 1050566112 is 2116650501.

It is a happy number.

It is a super-2 number, since 2×10505661122 = 2207378311365593088, 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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 929964 + ... + 931092.

It is an arithmetic number, because the mean of its divisors is an integer number (25841970).

Almost surely, 21050566112 is an apocalyptic number.

1050566112 is a gapful number since it is divisible by the number (12) 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 1050566112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550518200).

1050566112 is an abundant number, since it is smaller than the sum of its proper divisors (2050470288).

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

1050566112 is a wasteful number, since it uses less digits than its factorization.

1050566112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1050566112 is about 32412.4376127437. The cubic root of 1050566112 is about 1016.5789888138.

The spelling of 1050566112 in words is "one billion, fifty million, five hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 359 432 648 718 864 1077 1129 1296 1436 2154 2258 2592 2872 3231 3387 4308 4516 5744 6462 6774 8616 9032 9693 10161 11488 12924 13548 17232 18064 19386 20322 25848 27096 29079 30483 34464 36128 38772 40644 51696 54192 58158 60966 77544 81288 91449 103392 108384 116316 121932 155088 162576 182898 232632 243864 310176 325152 365796 405311 465264 487728 731592 810622 930528 975456 1215933 1463184 1621244 2431866 2926368 3242488 3647799 4863732 6484976 7295598 9727464 10943397 12969952 14591196 19454928 21886794 29182392 32830191 38909856 43773588 58364784 65660382 87547176 116729568 131320764 175094352 262641528 350188704 525283056 1050566112