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1131005560 = 23567503839
BaseRepresentation
bin100001101101001…
…1100011001111000
32220211012000221211
41003122130121320
54304014134220
6304121212504
740012250206
oct10332343170
92824160854
101131005560
11530472243
12276931134
13150418579
14aa2d0076
156945cb5a
hex4369c678

1131005560 has 64 divisors (see below), whose sum is σ = 2590963200. Its totient is φ = 444233856.

The previous prime is 1131005543. The next prime is 1131005567. The reversal of 1131005560 is 655001311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131005567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347621 + ... + 1348459.

It is an arithmetic number, because the mean of its divisors is an integer number (40483800).

Almost surely, 21131005560 is an apocalyptic number.

1131005560 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 1131005560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295481600).

1131005560 is an abundant number, since it is smaller than the sum of its proper divisors (1459957640).

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

1131005560 is a wasteful number, since it uses less digits than its factorization.

1131005560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 1131005560 is about 33630.4261049425. The cubic root of 1131005560 is about 1041.8893048880.

Adding to 1131005560 its reverse (655001311), we get a palindrome (1786006871).

The spelling of 1131005560 in words is "one billion, one hundred thirty-one million, five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 503 536 670 839 1006 1340 1678 2012 2515 2680 3356 4024 4195 5030 6712 8390 10060 16780 20120 33560 33701 56213 67402 112426 134804 168505 224852 269608 281065 337010 422017 449704 562130 674020 844034 1124260 1348040 1688068 2110085 2248520 3376136 4220170 8440340 16880680 28275139 56550278 113100556 141375695 226201112 282751390 565502780 1131005560