Search a number
-
+
1155027000 = 233531312939
BaseRepresentation
bin100010011011000…
…0101000000111000
32222111101110011210
41010312011000320
54331141331000
6310340123120
740423365441
oct10466050070
92874343153
101155027000
11542a89976
122829964a0
131553a923a
14ad5842c8
156b605350
hex44d85038

1155027000 has 128 divisors (see below), whose sum is σ = 3632428800. Its totient is φ = 305552000.

The previous prime is 1155026989. The next prime is 1155027001. The reversal of 1155027000 is 7205511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155027001) by changing a digit.

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, 391531 + ... + 394469.

It is an arithmetic number, because the mean of its divisors is an integer number (28378350).

Almost surely, 21155027000 is an apocalyptic number.

1155027000 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 1155027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816214400).

1155027000 is an abundant number, since it is smaller than the sum of its proper divisors (2477401800).

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

1155027000 is a wasteful number, since it uses less digits than its factorization.

1155027000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 1155027000 is about 33985.6881642847. The cubic root of 1155027000 is about 1049.2139241278.

The spelling of 1155027000 in words is "one billion, one hundred fifty-five million, twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 131 150 200 250 262 300 375 393 500 524 600 655 750 786 1000 1048 1310 1500 1572 1965 2620 2939 3000 3144 3275 3930 5240 5878 6550 7860 8817 9825 11756 13100 14695 15720 16375 17634 19650 23512 26200 29390 32750 35268 39300 44085 49125 58780 65500 70536 73475 78600 88170 98250 117560 131000 146950 176340 196500 220425 293900 352680 367375 385009 393000 440850 587800 734750 770018 881700 1102125 1155027 1469500 1540036 1763400 1925045 2204250 2310054 2939000 3080072 3850090 4408500 4620108 5775135 7700180 8817000 9240216 9625225 11550270 15400360 19250450 23100540 28875675 38500900 46201080 48126125 57751350 77001800 96252250 115502700 144378375 192504500 231005400 288756750 385009000 577513500 1155027000