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1061004420 = 22345793563
BaseRepresentation
bin111111001111011…
…010010010000100
32201221110121110000
4333033122102010
54133104120140
6253141001300
735202250230
oct7717322204
92657417400
101061004420
114a4a00363
122573b3230
1313ba79388
14a0cab5c0
1563231a30
hex3f3da484

1061004420 has 120 divisors (see below), whose sum is σ = 3803937984. Its totient is φ = 242512704.

The previous prime is 1061004383. The next prime is 1061004449. The reversal of 1061004420 is 244001601.

1061004420 is a `hidden beast` number, since 10 + 610 + 0 + 4 + 42 + 0 = 666.

It is a super-3 number, since 3×10610044203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 1061004393 and 1061004402.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35442 + ... + 58121.

Almost surely, 21061004420 is an apocalyptic number.

1061004420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061004420 is an abundant number, since it is smaller than the sum of its proper divisors (2742933564).

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

1061004420 is a wasteful number, since it uses less digits than its factorization.

1061004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93591 (or 93580 counting only the distinct ones).

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

The square root of 1061004420 is about 32573.0627973484. The cubic root of 1061004420 is about 1019.9347709152.

The spelling of 1061004420 in words is "one billion, sixty-one million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 93563 187126 280689 374252 467815 561378 654941 842067 935630 1122756 1309882 1403445 1684134 1871260 1964823 2526201 2619764 2806890 3274705 3368268 3929646 4210335 5052402 5613780 5894469 6549410 7578603 7859292 8420670 9824115 10104804 11788938 12631005 13098820 15157206 16841340 17683407 19648230 23577876 25262010 29472345 30314412 35366814 37893015 39296460 50524020 53050221 58944690 70733628 75786030 88417035 106100442 117889380 151572060 176834070 212200884 265251105 353668140 530502210 1061004420