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1130440000 = 265459479
BaseRepresentation
bin100001101100001…
…0010010101000000
32220210010022011011
41003120102111000
54303343040000
6304101130304
740004403304
oct10330222500
92823108134
101130440000
11530116338
122766b9994
1315027b011
14aa1c3d04
156939a2ba
hex43612540

1130440000 has 140 divisors (see below), whose sum is σ = 2856585600. Its totient is φ = 443584000.

The previous prime is 1130439991. The next prime is 1130440027. The reversal of 1130440000 is 440311.

It is a super-3 number, since 3×11304400003 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

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, 2359761 + ... + 2360239.

Almost surely, 21130440000 is an apocalyptic number.

1130440000 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 1130440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428292800).

1130440000 is an abundant number, since it is smaller than the sum of its proper divisors (1726145600).

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

1130440000 is an frugal number, since it uses more digits than its factorization.

1130440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 545 counting only the distinct ones).

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

The square root of 1130440000 is about 33622.0165962722. The cubic root of 1130440000 is about 1041.7156101448.

Adding to 1130440000 its reverse (440311), we get a palindrome (1130880311).

The spelling of 1130440000 in words is "one billion, one hundred thirty million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 160 200 236 250 295 320 400 472 479 500 590 625 800 944 958 1000 1180 1250 1475 1600 1888 1916 2000 2360 2395 2500 2950 3776 3832 4000 4720 4790 5000 5900 7375 7664 8000 9440 9580 10000 11800 11975 14750 15328 18880 19160 20000 23600 23950 28261 29500 30656 36875 38320 40000 47200 47900 56522 59000 59875 73750 76640 94400 95800 113044 118000 119750 141305 147500 153280 191600 226088 236000 239500 282610 295000 299375 383200 452176 472000 479000 565220 590000 598750 706525 766400 904352 958000 1130440 1180000 1197500 1413050 1808704 1916000 2260880 2360000 2395000 2826100 3532625 3832000 4521760 4790000 5652200 7065250 9043520 9580000 11304400 14130500 17663125 19160000 22608800 28261000 35326250 45217600 56522000 70652500 113044000 141305000 226088000 282610000 565220000 1130440000