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1074024630 = 23357281181
BaseRepresentation
bin100000000000100…
…0101000010110110
32202211222002211000
41000001011002312
54144422242010
6254324024130
735421026100
oct10001050266
92684862730
101074024630
11501293668
1225b832046
13141687843
14a28da570
15644547c0
hex400450b6

1074024630 has 96 divisors (see below), whose sum is σ = 3331709280. Its totient is φ = 245488320.

The previous prime is 1074024617. The next prime is 1074024689. The reversal of 1074024630 is 364204701.

1074024630 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 0 + 24 + 630 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1074024594 and 1074024603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27361 + ... + 53820.

It is an arithmetic number, because the mean of its divisors is an integer number (34705305).

Almost surely, 21074024630 is an apocalyptic number.

1074024630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1074024630 is an abundant number, since it is smaller than the sum of its proper divisors (2257684650).

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

1074024630 is a wasteful number, since it uses less digits than its factorization.

1074024630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81211 (or 81198 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1074024630 is about 32772.3149929937. The cubic root of 1074024630 is about 1024.0898937145.

The spelling of 1074024630 in words is "one billion, seventy-four million, twenty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 13230 81181 162362 243543 405905 487086 568267 730629 811810 1136534 1217715 1461258 1704801 2191887 2435430 2841335 3409602 3653145 3977869 4383774 5114403 5682670 7306290 7955738 8524005 10228806 10959435 11933607 15343209 17048010 19889345 21918870 23867214 25572015 30686418 35800821 39778690 51144030 59668035 71601642 76716045 107402463 119336070 153432090 179004105 214804926 358008210 537012315 1074024630