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1005212340 = 2232511246153
BaseRepresentation
bin111011111010100…
…101001010110100
32121001111002002200
4323322211022310
54024313243330
6243425104500
733624110136
oct7372451264
92531432080
101005212340
11476463a00
12240788130
13130343802
1497707056
155d3b0a60
hex3bea52b4

1005212340 has 108 divisors (see below), whose sum is σ = 3351611172. Its totient is φ = 243682560.

The previous prime is 1005212311. The next prime is 1005212371. The reversal of 1005212340 is 432125001.

1005212340 is a `hidden beast` number, since 100 + 521 + 2 + 3 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 690007824 + 315204516 = 26268^2 + 17754^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 1297 + ... + 44856.

Almost surely, 21005212340 is an apocalyptic number.

1005212340 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 1005212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675805586).

1005212340 is an abundant number, since it is smaller than the sum of its proper divisors (2346398832).

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

1005212340 is a wasteful number, since it uses less digits than its factorization.

1005212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46190 (or 46174 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1005212340 is about 31705.0838194760. The cubic root of 1005212340 is about 1001.7344366569.

Adding to 1005212340 its reverse (432125001), we get a palindrome (1437337341).

The spelling of 1005212340 in words is "one billion, five million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 46153 92306 138459 184612 230765 276918 415377 461530 507683 553836 692295 830754 923060 1015366 1384590 1523049 1661508 2030732 2076885 2538415 2769180 3046098 4153770 4569147 5076830 5584513 6092196 7615245 8307540 9138294 10153660 11169026 15230490 16753539 18276588 22338052 22845735 27922565 30460980 33507078 45691470 50260617 55845130 67014156 83767695 91382940 100521234 111690260 167535390 201042468 251303085 335070780 502606170 1005212340