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1058403840 = 29351310601
BaseRepresentation
bin111111000101011…
…111011000000000
32201202120111010020
4333011133120000
54131422410330
6253005133440
735141166324
oct7705373000
92652514106
101058403840
114a349451a
1225655a280
1313b378780
14a07d1984
1562dbb210
hex3f15f600

1058403840 has 160 divisors (see below), whose sum is σ = 3644204256. Its totient is φ = 260505600.

The previous prime is 1058403803. The next prime is 1058403893. The reversal of 1058403840 is 483048501.

1058403840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10584038402 = 2240437377053491200, 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 15 ways as a sum of consecutive naturals, for example, 94540 + ... + 105140.

Almost surely, 21058403840 is an apocalyptic number.

1058403840 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 1058403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822102128).

1058403840 is an abundant number, since it is smaller than the sum of its proper divisors (2585800416).

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

1058403840 is a wasteful number, since it uses less digits than its factorization.

1058403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10640 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1058403840 is about 32533.1191249779. The cubic root of 1058403840 is about 1019.1007838147.

It can be divided in two parts, 105840 and 3840, that multiplied together give a square (406425600 = 201602).

The spelling of 1058403840 in words is "one billion, fifty-eight million, four hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 10601 12480 16640 19968 21202 24960 31803 33280 42404 49920 53005 63606 84808 99840 106010 127212 137813 159015 169616 212020 254424 275626 318030 339232 413439 424040 508848 551252 636060 678464 689065 826878 848080 1017696 1102504 1272120 1356928 1378130 1653756 1696160 2035392 2067195 2205008 2544240 2713856 2756260 3307512 3392320 4070784 4134390 4410016 5088480 5427712 5512520 6615024 6784640 8141568 8268780 8820032 10176960 11025040 13230048 13569280 16283136 16537560 17640064 20353920 22050080 26460096 27138560 33075120 35280128 40707840 44100160 52920192 66150240 70560256 81415680 88200320 105840384 132300480 176400640 211680768 264600960 352801280 529201920 1058403840