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1123728480 = 2532572337131
BaseRepresentation
bin100001011111010…
…1011110001100000
32220022111022200100
41002332223301200
54300133302410
6303301222400
736563351220
oct10276536140
92808438610
101123728480
11527351926
12274401a00
1314ba6b1c4
14a9358080
15689c18c0
hex42fabc60

1123728480 has 576 divisors, whose sum is σ = 4732535808. Its totient is φ = 237219840.

The previous prime is 1123728479. The next prime is 1123728581. The reversal of 1123728480 is 848273211.

It is a super-2 number, since 2×11237284802 = 2525531393526220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8578015 + ... + 8578145.

It is an arithmetic number, because the mean of its divisors is an integer number (8216208).

Almost surely, 21123728480 is an apocalyptic number.

1123728480 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 1123728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366267904).

1123728480 is an abundant number, since it is smaller than the sum of its proper divisors (3608807328).

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

1123728480 is a wasteful number, since it uses less digits than its factorization.

1123728480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1123728480 is about 33522.0596025960. The cubic root of 1123728480 is about 1039.6499314883.

The spelling of 1123728480 in words is "one billion, one hundred twenty-three million, seven hundred twenty-eight thousand, four hundred eighty".