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1029230000 = 2454195417
BaseRepresentation
bin111101010110001…
…100110110110000
32122201200022010122
4331112030312300
54101440330000
6250043545412
734335211361
oct7526146660
92581608118
101029230000
11488a78807
1224882b268
13135302846
149a999b68
1560557085
hex3d58cdb0

1029230000 has 100 divisors (see below), whose sum is σ = 2623503960. Its totient is φ = 389952000.

The previous prime is 1029229973. The next prime is 1029230021. The reversal of 1029230000 is 329201.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 187292 + ... + 192708.

Almost surely, 21029230000 is an apocalyptic number.

1029230000 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 1029230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311751980).

1029230000 is an abundant number, since it is smaller than the sum of its proper divisors (1594273960).

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

1029230000 is an equidigital number, since it uses as much as digits as its factorization.

1029230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1029230000 is about 32081.6146725816. The cubic root of 1029230000 is about 1009.6499129769.

Adding to 1029230000 its reverse (329201), we get a palindrome (1029559201).

The spelling of 1029230000 in words is "one billion, twenty-nine million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 625 760 950 1000 1250 1520 1900 2000 2375 2500 3800 4750 5000 5417 7600 9500 10000 10834 11875 19000 21668 23750 27085 38000 43336 47500 54170 86672 95000 102923 108340 135425 190000 205846 216680 270850 411692 433360 514615 541700 677125 823384 1029230 1083400 1354250 1646768 2058460 2166800 2573075 2708500 3385625 4116920 5146150 5417000 6771250 8233840 10292300 10834000 12865375 13542500 20584600 25730750 27085000 41169200 51461500 54170000 64326875 102923000 128653750 205846000 257307500 514615000 1029230000