Search a number
-
+
1107240000 = 263549227
BaseRepresentation
bin100000111111111…
…0010010001000000
32212011110121201220
41001333302101000
54231423140000
6301511555040
736303245646
oct10177622100
92764417656
101107240000
1151900a889
1226a98ba80
131485171c9
14a70a5196
15673161a0
hex41ff2440

1107240000 has 140 divisors (see below), whose sum is σ = 3661190544. Its totient is φ = 295232000.

The previous prime is 1107239993. The next prime is 1107240023. The reversal of 1107240000 is 427011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 115387 + ... + 124613.

Almost surely, 21107240000 is an apocalyptic number.

1107240000 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 1107240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830595272).

1107240000 is an abundant number, since it is smaller than the sum of its proper divisors (2553950544).

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

1107240000 is an frugal number, since it uses more digits than its factorization.

1107240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1107240000 is about 33275.2160023042. The cubic root of 1107240000 is about 1034.5399248102.

Adding to 1107240000 its reverse (427011), we get a palindrome (1107667011).

The spelling of 1107240000 in words is "one billion, one hundred seven million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 9227 10000 12000 15000 18454 20000 24000 27681 30000 36908 40000 46135 55362 60000 73816 92270 110724 120000 138405 147632 184540 221448 230675 276810 295264 369080 442896 461350 553620 590528 692025 738160 885792 922700 1107240 1153375 1384050 1476320 1771584 1845400 2214480 2306750 2768100 2952640 3460125 3690800 4428960 4613500 5536200 5766875 6920250 7381600 8857920 9227000 11072400 11533750 13840500 14763200 17300625 18454000 22144800 23067500 27681000 34601250 36908000 44289600 46135000 55362000 69202500 73816000 92270000 110724000 138405000 184540000 221448000 276810000 369080000 553620000 1107240000