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1230033000 = 23353758573
BaseRepresentation
bin100100101010000…
…1101000001101000
310011201112011001210
41021110031001220
510004342024000
6322015513120
742324052020
oct11124150150
93151464053
101230033000
11581359aa9
122a3b287a0
13167aab4a1
14b950aa80
1572ebe350
hex4950d068

1230033000 has 128 divisors (see below), whose sum is σ = 4386021120. Its totient is φ = 281145600.

The previous prime is 1230032987. The next prime is 1230033029. The reversal of 1230033000 is 3300321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8287 + ... + 50286.

It is an arithmetic number, because the mean of its divisors is an integer number (34265790).

Almost surely, 21230033000 is an apocalyptic number.

1230033000 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 1230033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193010560).

1230033000 is an abundant number, since it is smaller than the sum of its proper divisors (3155988120).

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

1230033000 is a wasteful number, since it uses less digits than its factorization.

1230033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58604 (or 58590 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 1230033000 is about 35071.8262997523. The cubic root of 1230033000 is about 1071.4508516002.

Adding to 1230033000 its reverse (3300321), we get a palindrome (1233333321).

The spelling of 1230033000 in words is "one billion, two hundred thirty million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 58573 117146 175719 234292 292865 351438 410011 468584 585730 702876 820022 878595 1171460 1230033 1405752 1464325 1640044 1757190 2050055 2342920 2460066 2928650 3280088 3514380 4100110 4392975 4920132 5857300 6150165 7028760 7321625 8200220 8785950 9840264 10250275 11714600 12300330 14643250 16400440 17571900 20500550 21964875 24600660 29286500 30750825 35143800 41001100 43929750 49201320 51251375 58573000 61501650 82002200 87859500 102502750 123003300 153754125 175719000 205005500 246006600 307508250 410011000 615016500 1230033000