Search a number
-
+
1130204200 = 2352173110723
BaseRepresentation
bin100001101011101…
…1000110000101000
32220202200022200211
41003113120300220
54303313013300
6304052110504
740002401656
oct10327306050
92822608624
101130204200
1152aa75164
12276605434
131501c78a8
14aa161dd6
15693504ba
hex435d8c28

1130204200 has 96 divisors (see below), whose sum is σ = 2872316160. Its totient is φ = 411724800.

The previous prime is 1130204087. The next prime is 1130204213. The reversal of 1130204200 is 24020311.

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 23 ways as a sum of consecutive naturals, for example, 100039 + ... + 110761.

It is an arithmetic number, because the mean of its divisors is an integer number (29919960).

Almost surely, 21130204200 is an apocalyptic number.

1130204200 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 1130204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436158080).

1130204200 is an abundant number, since it is smaller than the sum of its proper divisors (1742111960).

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

1130204200 is a wasteful number, since it uses less digits than its factorization.

1130204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10787 (or 10778 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1130204200 is about 33618.5097825588. The cubic root of 1130204200 is about 1041.6431741546.

Adding to 1130204200 its reverse (24020311), we get a palindrome (1154224511).

The spelling of 1130204200 in words is "one billion, one hundred thirty million, two hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 31 34 40 50 62 68 85 100 124 136 155 170 200 248 310 340 425 527 620 680 775 850 1054 1240 1550 1700 2108 2635 3100 3400 4216 5270 6200 10540 10723 13175 21080 21446 26350 42892 52700 53615 85784 105400 107230 182291 214460 268075 332413 364582 428920 536150 664826 729164 911455 1072300 1329652 1458328 1662065 1822910 2144600 2659304 3324130 3645820 4557275 5651021 6648260 7291640 8310325 9114550 11302042 13296520 16620650 18229100 22604084 28255105 33241300 36458200 45208168 56510210 66482600 113020420 141275525 226040840 282551050 565102100 1130204200