Search a number
-
+
1235320000 = 265489347
BaseRepresentation
bin100100110100001…
…0111110011000000
310012002110202110121
41021220113303000
510012220220000
6322325110024
742420022015
oct11150276300
93162422417
101235320000
11584340222
122a5858314
13168c0caa5
14ba0c570c
15736b5b1a
hex49a17cc0

1235320000 has 140 divisors (see below), whose sum is σ = 3106536840. Its totient is φ = 487168000.

The previous prime is 1235319971. The next prime is 1235320001. The reversal of 1235320000 is 235321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1235320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3559827 + ... + 3560173.

Almost surely, 21235320000 is an apocalyptic number.

1235320000 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 1235320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553268420).

1235320000 is an abundant number, since it is smaller than the sum of its proper divisors (1871216840).

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

1235320000 is an frugal number, since it uses more digits than its factorization.

1235320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 1235320000 is about 35147.1193698716. The cubic root of 1235320000 is about 1072.9837816857.

Adding to 1235320000 its reverse (235321), we get a palindrome (1235555321).

The spelling of 1235320000 in words is "one billion, two hundred thirty-five million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 160 178 200 250 320 347 356 400 445 500 625 694 712 800 890 1000 1250 1388 1424 1600 1735 1780 2000 2225 2500 2776 2848 3470 3560 4000 4450 5000 5552 5696 6940 7120 8000 8675 8900 10000 11104 11125 13880 14240 17350 17800 20000 22208 22250 27760 28480 30883 34700 35600 40000 43375 44500 55520 55625 61766 69400 71200 86750 89000 111040 111250 123532 138800 142400 154415 173500 178000 216875 222500 247064 277600 308830 347000 356000 433750 445000 494128 555200 617660 694000 712000 772075 867500 890000 988256 1235320 1388000 1544150 1735000 1780000 1976512 2470640 2776000 3088300 3470000 3560000 3860375 4941280 6176600 6940000 7720750 9882560 12353200 13880000 15441500 19301875 24706400 30883000 38603750 49412800 61766000 77207500 123532000 154415000 247064000 308830000 617660000 1235320000