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1130950560 = 25354157467
BaseRepresentation
bin100001101101000…
…1110111110100000
32220211002020111210
41003122032332200
54304010404220
6304120110120
740011630645
oct10332167640
92824066453
101130950560
11530434993
12276905340
131503c951c
14aa2b7dcc
156944b6e0
hex4368efa0

1130950560 has 96 divisors (see below), whose sum is σ = 3649447872. Its totient is φ = 294225920.

The previous prime is 1130950559. The next prime is 1130950571. The reversal of 1130950560 is 650590311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9054 + ... + 48413.

It is an arithmetic number, because the mean of its divisors is an integer number (38015082).

Almost surely, 21130950560 is an apocalyptic number.

1130950560 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 1130950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824723936).

1130950560 is an abundant number, since it is smaller than the sum of its proper divisors (2518497312).

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

1130950560 is a wasteful number, since it uses less digits than its factorization.

1130950560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57526 (or 57518 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 1130950560 is about 33629.6083830900. The cubic root of 1130950560 is about 1041.8724158344.

The spelling of 1130950560 in words is "one billion, one hundred thirty million, nine hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 57467 114934 172401 229868 287335 344802 459736 574670 689604 862005 919472 1149340 1379208 1724010 1838944 2298680 2356147 2758416 3448020 4597360 4712294 5516832 6896040 7068441 9194720 9424588 11780735 13792080 14136882 18849176 23561470 27584160 28273764 35342205 37698352 47122940 56547528 70684410 75396704 94245880 113095056 141368820 188491760 226190112 282737640 376983520 565475280 1130950560