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1055319300 = 223352755837
BaseRepresentation
bin111110111001101…
…110010100000100
32201112202202221000
4332321232110010
54130130204200
6252415053300
735103031440
oct7671562404
92645682830
101055319300
114a1778012
12255511230
1313a8387b9
14a022b820
15629ac300
hex3ee6e504

1055319300 has 144 divisors (see below), whose sum is σ = 3877390720. Its totient is φ = 241211520.

The previous prime is 1055319283. The next prime is 1055319313. The reversal of 1055319300 is 39135501.

It is a super-2 number, since 2×10553193002 = 2227397649904980000, which contains 22 as substring.

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

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, 9019 + ... + 46818.

Almost surely, 21055319300 is an apocalyptic number.

1055319300 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 1055319300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938695360).

1055319300 is an abundant number, since it is smaller than the sum of its proper divisors (2822071420).

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

1055319300 is a wasteful number, since it uses less digits than its factorization.

1055319300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55867 (or 55854 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 1055319300 is about 32485.6783829428. The cubic root of 1055319300 is about 1018.1098212416.

The spelling of 1055319300 in words is "one billion, fifty-five million, three hundred nineteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 55837 111674 167511 223348 279185 335022 390859 502533 558370 670044 781718 837555 1005066 1116740 1172577 1395925 1507599 1563436 1675110 1954295 2010132 2345154 2512665 2791850 3015198 3350220 3517731 3908590 4187775 4690308 5025330 5583700 5862885 6030396 7035462 7537995 7817180 8375550 9771475 10050660 10553193 11725770 12563325 14070924 15075990 16751100 17588655 19542950 21106386 23451540 25126650 29314425 30151980 35177310 37689975 39085900 42212772 50253300 52765965 58628850 70354620 75379950 87943275 105531930 117257700 150759900 175886550 211063860 263829825 351773100 527659650 1055319300