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1056860640 = 253251166721
BaseRepresentation
bin111110111111100…
…110100111100000
32201122200002020200
4332333212213200
54131024020030
6252512105200
735122111233
oct7677464740
92648602220
101056860640
114a2630050
12255b35200
1313ac58234
14a050d41a
1562bb3d60
hex3efe69e0

1056860640 has 144 divisors (see below), whose sum is σ = 3934462896. Its totient is φ = 256204800.

The previous prime is 1056860593. The next prime is 1056860653. The reversal of 1056860640 is 460686501.

1056860640 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 8 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10568606402 = 2233908824762419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1056860595 and 1056860604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17521 + ... + 49200.

It is an arithmetic number, because the mean of its divisors is an integer number (27322659).

Almost surely, 21056860640 is an apocalyptic number.

1056860640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056860640 is an abundant number, since it is smaller than the sum of its proper divisors (2877602256).

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

1056860640 is a wasteful number, since it uses less digits than its factorization.

1056860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66753 (or 66742 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1056860640 is about 32509.3931041476. The cubic root of 1056860640 is about 1018.6052447668.

The spelling of 1056860640 in words is "one billion, fifty-six million, eight hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 66721 133442 200163 266884 333605 400326 533768 600489 667210 733931 800652 1000815 1067536 1200978 1334420 1467862 1601304 2001630 2135072 2201793 2401956 2668840 2935724 3002445 3202608 3669655 4003260 4403586 4803912 5337680 5871448 6004890 6405216 6605379 7339310 8006520 8807172 9607824 10675360 11008965 11742896 12009780 13210758 14678620 16013040 17614344 19215648 22017930 23485792 24019560 26421516 29357240 32026080 33026895 35228688 44035860 48039120 52843032 58714480 66053790 70457376 88071720 96078240 105686064 117428960 132107580 176143440 211372128 264215160 352286880 528430320 1056860640