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1145105280 = 273251123153
BaseRepresentation
bin100010001000000…
…1110101110000000
32221210201101010200
41010100032232000
54321121332110
6305343325200
740243143234
oct10420165600
92853641120
101145105280
11538422600
1227b5b0800
131533141b7
14ac1205c4
156a7e56c0
hex4440eb80

1145105280 has 576 divisors, whose sum is σ = 4571199360. Its totient is φ = 263577600.

The previous prime is 1145105251. The next prime is 1145105303. The reversal of 1145105280 is 825015411.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11451052802 = 2622532204567756800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21605734 + ... + 21605786.

It is an arithmetic number, because the mean of its divisors is an integer number (7936110).

Almost surely, 21145105280 is an apocalyptic number.

1145105280 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 1145105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285599680).

1145105280 is an abundant number, since it is smaller than the sum of its proper divisors (3426094080).

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

1145105280 is a wasteful number, since it uses less digits than its factorization.

1145105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1145105280 is about 33839.4042500751. The cubic root of 1145105280 is about 1046.2010198762.

The spelling of 1145105280 in words is "one billion, one hundred forty-five million, one hundred five thousand, two hundred eighty".