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1055331000 = 233253117259
BaseRepresentation
bin111110111001110…
…001001010111000
32201112210100222100
4332321301022320
54130131043000
6252415223400
735103110523
oct7671611270
92645710870
101055331000
114a1785889
12255517b60
1313a840c19
14a0231bba
15629b0a00
hex3ee712b8

1055331000 has 96 divisors (see below), whose sum is σ = 3567049200. Its totient is φ = 281419200.

The previous prime is 1055330987. The next prime is 1055331001. The reversal of 1055331000 is 1335501.

It is a happy number.

1055331000 is a `hidden beast` number, since 10 + 553 + 3 + 100 + 0 = 666.

It is a super-2 number, since 2×10553310002 = 2227447039122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055331001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49630 + ... + 67629.

Almost surely, 21055331000 is an apocalyptic number.

1055331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055331000 is an abundant number, since it is smaller than the sum of its proper divisors (2511718200).

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

1055331000 is a wasteful number, since it uses less digits than its factorization.

1055331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117286 (or 117269 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 1055331000 is about 32485.8584617984. The cubic root of 1055331000 is about 1018.1135837177.

Adding to 1055331000 its reverse (1335501), we get a palindrome (1056666501).

The spelling of 1055331000 in words is "one billion, fifty-five million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 117259 234518 351777 469036 586295 703554 938072 1055331 1172590 1407108 1758885 2110662 2345180 2814216 2931475 3517770 4221324 4690360 5276655 5862950 7035540 8442648 8794425 10553310 11725900 14071080 14657375 17588850 21106620 23451800 26383275 29314750 35177700 42213240 43972125 52766550 58629500 70355400 87944250 105533100 117259000 131916375 175888500 211066200 263832750 351777000 527665500 1055331000