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1042411320 = 233257936653
BaseRepresentation
bin111110001000011…
…110111100111000
32200122110222111200
4332020132330320
54113324130240
6251234254200
734555231026
oct7610367470
92618428450
101042411320
11495461065
12251127360
13137c69442
149c62b716
15617ac930
hex3e21ef38

1042411320 has 96 divisors (see below), whose sum is σ = 3430814400. Its totient is φ = 274450176.

The previous prime is 1042411303. The next prime is 1042411361. The reversal of 1042411320 is 231142401.

1042411320 is a `hidden beast` number, since 104 + 241 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1042411293 and 1042411302.

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 23 ways as a sum of consecutive naturals, for example, 10114 + ... + 46766.

It is an arithmetic number, because the mean of its divisors is an integer number (35737650).

Almost surely, 21042411320 is an apocalyptic number.

1042411320 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 1042411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715407200).

1042411320 is an abundant number, since it is smaller than the sum of its proper divisors (2388403080).

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

1042411320 is a wasteful number, since it uses less digits than its factorization.

1042411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36749 (or 36742 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1042411320 is about 32286.3952772681. The cubic root of 1042411320 is about 1013.9418287649.

Adding to 1042411320 its reverse (231142401), we get a palindrome (1273553721).

The spelling of 1042411320 in words is "one billion, forty-two million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5688 7110 9480 14220 28440 36653 73306 109959 146612 183265 219918 293224 329877 366530 439836 549795 659754 733060 879672 1099590 1319508 1466120 1649385 2199180 2639016 2895587 3298770 4398360 5791174 6597540 8686761 11582348 13195080 14477935 17373522 23164696 26060283 28955870 34747044 43433805 52120566 57911740 69494088 86867610 104241132 115823480 130301415 173735220 208482264 260602830 347470440 521205660 1042411320