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1130423616 = 263271392017
BaseRepresentation
bin100001101100000…
…1110010101000000
32220210002110200100
41003120032111000
54303342023431
6304100522400
740004304450
oct10330162500
92823073610
101130423616
11530104aa3
122766b0400
1315027371a
14aa1bbd60
15693954e6
hex4360e540

1130423616 has 168 divisors, whose sum is σ = 3731524160. Its totient is φ = 320495616.

The previous prime is 1130423597. The next prime is 1130423617. The reversal of 1130423616 is 6163240311.

1130423616 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 42 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×11304236163 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1130423616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130423617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559440 + ... + 561456.

Almost surely, 21130423616 is an apocalyptic number.

1130423616 is a gapful number since it is divisible by the number (16) 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 1130423616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865762080).

1130423616 is an abundant number, since it is smaller than the sum of its proper divisors (2601100544).

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

1130423616 is a wasteful number, since it uses less digits than its factorization.

1130423616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1130423616 is about 33621.7729455185. The cubic root of 1130423616 is about 1041.7105774286.

Adding to 1130423616 its reverse (6163240311), we get a palindrome (7293663927).

The spelling of 1130423616 in words is "one billion, one hundred thirty million, four hundred twenty-three thousand, six hundred sixteen".