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1041445120 = 2854012029
BaseRepresentation
bin111110000100110…
…011000100000000
32200120122220010111
4332010303010000
54113102220440
6251201441104
734544065102
oct7604630400
92616586114
101041445120
11494961151
12250940194
131379bb721
149c459572
156166b4ea
hex3e133100

1041445120 has 72 divisors (see below), whose sum is σ = 2502039960. Its totient is φ = 415334400.

The previous prime is 1041445103. The next prime is 1041445127. The reversal of 1041445120 is 215441401.

It can be written as a sum of positive squares in 4 ways, for example, as 749445376 + 291999744 = 27376^2 + 17088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1041445091 and 1041445100.

It is not an unprimeable number, because it can be changed into a prime (1041445127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512266 + ... + 514294.

It is an arithmetic number, because the mean of its divisors is an integer number (34750555).

Almost surely, 21041445120 is an apocalyptic number.

1041445120 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 1041445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251019980).

1041445120 is an abundant number, since it is smaller than the sum of its proper divisors (1460594840).

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

1041445120 is an equidigital number, since it uses as much as digits as its factorization.

1041445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1041445120 is about 32271.4288496806. The cubic root of 1041445120 is about 1013.6284612825.

Adding to 1041445120 its reverse (215441401), we get a palindrome (1256886521).

The spelling of 1041445120 in words is "one billion, forty-one million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 401 640 802 1280 1604 2005 2029 3208 4010 4058 6416 8020 8116 10145 12832 16040 16232 20290 25664 32080 32464 40580 51328 64160 64928 81160 102656 128320 129856 162320 256640 259712 324640 513280 519424 649280 813629 1298560 1627258 2597120 3254516 4068145 6509032 8136290 13018064 16272580 26036128 32545160 52072256 65090320 104144512 130180640 208289024 260361280 520722560 1041445120