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1130320000 = 275471199
BaseRepresentation
bin100001101011111…
…0101000010000000
32220202220012112201
41003113311002000
54303330220000
6304054402544
740003363405
oct10327650200
92822805481
101130320000
11530044167
12276660454
13150238504
14aa1922ac
156937496a
hex435f5080

1130320000 has 160 divisors (see below), whose sum is σ = 2867832000. Its totient is φ = 443520000.

The previous prime is 1130319991. The next prime is 1130320049. The reversal of 1130320000 is 230311.

1130320000 = 613 + 623 + ... + 2593.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5679901 + ... + 5680099.

It is an arithmetic number, because the mean of its divisors is an integer number (17923950).

Almost surely, 21130320000 is an apocalyptic number.

1130320000 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 1130320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433916000).

1130320000 is an abundant number, since it is smaller than the sum of its proper divisors (1737512000).

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

1130320000 is an frugal number, since it uses more digits than its factorization.

1130320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1130320000 is about 33620.2320039586. The cubic root of 1130320000 is about 1041.6787483043.

Adding to 1130320000 its reverse (230311), we get a palindrome (1130550311).

The spelling of 1130320000 in words is "one billion, one hundred thirty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 128 142 160 199 200 250 284 320 355 398 400 500 568 625 640 710 796 800 995 1000 1136 1250 1420 1592 1600 1775 1990 2000 2272 2500 2840 3184 3200 3550 3980 4000 4544 4975 5000 5680 6368 7100 7960 8000 8875 9088 9950 10000 11360 12736 14129 14200 15920 16000 17750 19900 20000 22720 24875 25472 28258 28400 31840 35500 39800 40000 44375 45440 49750 56516 56800 63680 70645 71000 79600 80000 88750 99500 113032 113600 124375 127360 141290 142000 159200 177500 199000 226064 227200 248750 282580 284000 318400 353225 355000 398000 452128 497500 565160 568000 636800 706450 710000 796000 904256 995000 1130320 1136000 1412900 1420000 1592000 1766125 1808512 1990000 2260640 2825800 2840000 3184000 3532250 3980000 4521280 5651600 5680000 7064500 7960000 8830625 9042560 11303200 14129000 15920000 17661250 22606400 28258000 35322500 45212800 56516000 70645000 113032000 141290000 226064000 282580000 565160000 1130320000