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1059751420 = 2257213193431
BaseRepresentation
bin111111001010101…
…000010111111100
32201212002221122121
4333022220113330
54132244021140
6253054052324
735155511200
oct7712502774
92655087577
101059751420
114a4224a22
12256aaa0a4
1313b72ac60
14a0a62b00
156308564a
hex3f2a85fc

1059751420 has 144 divisors (see below), whose sum is σ = 2808908928. Its totient is φ = 332881920.

The previous prime is 1059751417. The next prime is 1059751493. The reversal of 1059751420 is 241579501.

It is a super-2 number, since 2×10597514202 = 2246146144384032800, which contains 22 as substring.

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, 2458605 + ... + 2459035.

It is an arithmetic number, because the mean of its divisors is an integer number (19506312).

Almost surely, 21059751420 is an apocalyptic number.

1059751420 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 1059751420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404454464).

1059751420 is an abundant number, since it is smaller than the sum of its proper divisors (1749157508).

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

1059751420 is a wasteful number, since it uses less digits than its factorization.

1059751420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 1059751420 is about 32553.8234313575. The cubic root of 1059751420 is about 1019.5331132491.

The spelling of 1059751420 in words is "one billion, fifty-nine million, seven hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 193 196 245 260 364 386 431 455 490 637 772 862 910 965 980 1274 1351 1724 1820 1930 2155 2509 2548 2702 3017 3185 3860 4310 5018 5404 5603 6034 6370 6755 8620 9457 10036 11206 12068 12545 12740 13510 15085 17563 18914 21119 22412 25090 27020 28015 30170 35126 37828 39221 42238 47285 50180 56030 60340 70252 78442 83183 84476 87815 94570 105595 112060 122941 156884 166366 175630 189140 196105 211190 245882 274547 332732 351260 392210 415915 422380 491764 549094 582281 614705 784420 831830 1081379 1098188 1164562 1229410 1372735 1663660 2162758 2329124 2458820 2745470 2911405 4075967 4325516 5406895 5490940 5822810 7569653 8151934 10813790 11645620 15139306 16303868 20379835 21627580 30278612 37848265 40759670 52987571 75696530 81519340 105975142 151393060 211950284 264937855 529875710 1059751420