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1130552304 = 243722320899
BaseRepresentation
bin100001101100010…
…1101101111110000
32220210100000012120
41003120231233300
54303410133204
6304103354240
740005351600
oct10330555760
92823300176
101130552304
11530192752
12276752980
131502ba17b
14aa212c00
15693bd6d9
hex4362dbf0

1130552304 has 120 divisors (see below), whose sum is σ = 3545308800. Its totient is φ = 308956032.

The previous prime is 1130552273. The next prime is 1130552317. The reversal of 1130552304 is 4032550311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43647 + ... + 64545.

It is an arithmetic number, because the mean of its divisors is an integer number (29544240).

Almost surely, 21130552304 is an apocalyptic number.

1130552304 is a gapful number since it is divisible by the number (14) 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 1130552304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772654400).

1130552304 is an abundant number, since it is smaller than the sum of its proper divisors (2414756496).

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

1130552304 is a wasteful number, since it uses less digits than its factorization.

1130552304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20947 (or 20934 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1130552304 is about 33623.6866509311. The cubic root of 1130552304 is about 1041.7501055495.

The spelling of 1130552304 in words is "one billion, one hundred thirty million, five hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2254 2352 2576 3381 3864 4508 6762 7728 9016 13524 18032 20899 27048 41798 54096 62697 83596 125394 146293 167192 250788 292586 334384 438879 480677 501576 585172 877758 961354 1003152 1024051 1170344 1442031 1755516 1922708 2048102 2340688 2884062 3072153 3364739 3511032 3845416 4096204 5768124 6144306 6729478 7022064 7690832 8192408 10094217 11536248 12288612 13458956 16384816 20188434 23072496 23553173 24577224 26917912 40376868 47106346 49154448 53835824 70659519 80753736 94212692 141319038 161507472 188425384 282638076 376850768 565276152 1130552304