Search a number
-
+
1074010200 = 233523794723
BaseRepresentation
bin100000000000100…
…0001100001011000
32202211221101000120
41000001001201120
54144421311300
6254323433240
735420636034
oct10001014130
92684841016
101074010200
1150128383a
1225b825820
131416810c3
14a28d51c4
15644503a0
hex40041858

1074010200 has 96 divisors (see below), whose sum is σ = 3338923200. Its totient is φ = 285586560.

The previous prime is 1074010177. The next prime is 1074010213. The reversal of 1074010200 is 20104701.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1074010200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225039 + ... + 229761.

It is an arithmetic number, because the mean of its divisors is an integer number (34780450).

Almost surely, 21074010200 is an apocalyptic number.

1074010200 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 1074010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669461600).

1074010200 is an abundant number, since it is smaller than the sum of its proper divisors (2264913000).

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

1074010200 is a wasteful number, since it uses less digits than its factorization.

1074010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5112 counting only the distinct ones).

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

The square root of 1074010200 is about 32772.0948369188. The cubic root of 1074010200 is about 1024.0853073258.

Adding to 1074010200 its reverse (20104701), we get a palindrome (1094114901).

The spelling of 1074010200 in words is "one billion, seventy-four million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 379 600 758 1137 1516 1895 2274 3032 3790 4548 4723 5685 7580 9096 9446 9475 11370 14169 15160 18892 18950 22740 23615 28338 28425 37784 37900 45480 47230 56676 56850 70845 75800 94460 113352 113700 118075 141690 188920 227400 236150 283380 354225 472300 566760 708450 944600 1416900 1790017 2833800 3580034 5370051 7160068 8950085 10740102 14320136 17900170 21480204 26850255 35800340 42960408 44750425 53700510 71600680 89500850 107401020 134251275 179001700 214802040 268502550 358003400 537005100 1074010200