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1130019072 = 283713192337
BaseRepresentation
bin100001101011010…
…1011100100000000
32220202022220202020
41003112223210000
54303241102242
6304044121440
740001001150
oct10326534400
92822286666
101130019072
1152a959066
12276536280
13150161550
14aa114760
15693156ec
hex435ab900

1130019072 has 576 divisors, whose sum is σ = 4175646720. Its totient is φ = 262766592.

The previous prime is 1130019071. The next prime is 1130019101. The reversal of 1130019072 is 2709100311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1130019071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30541038 + ... + 30541074.

Almost surely, 21130019072 is an apocalyptic number.

1130019072 is a gapful number since it is divisible by the number (12) 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 1130019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087823360).

1130019072 is an abundant number, since it is smaller than the sum of its proper divisors (3045627648).

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

1130019072 is a wasteful number, since it uses less digits than its factorization.

1130019072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 1130019072 is about 33615.7563056374. The cubic root of 1130019072 is about 1041.5862971621.

Adding to 1130019072 its reverse (2709100311), we get a palindrome (3839119383).

The spelling of 1130019072 in words is "one billion, one hundred thirty million, nineteen thousand, seventy-two".