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1130187072 = 263729107271
BaseRepresentation
bin100001101011101…
…0100100101000000
32220202122110012110
41003113110211000
54303311441242
6304051455320
740002301020
oct10327244500
92822573173
101130187072
1152aa63303
122765b7540
131501bcb61
14aa159a80
156934a39c
hex435d4940

1130187072 has 224 divisors, whose sum is σ = 3581521920. Its totient is φ = 307722240.

The previous prime is 1130187053. The next prime is 1130187073. The reversal of 1130187072 is 2707810311.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130187073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4170297 + ... + 4170567.

Almost surely, 21130187072 is an apocalyptic number.

1130187072 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 1130187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790760960).

1130187072 is an abundant number, since it is smaller than the sum of its proper divisors (2451334848).

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

1130187072 is a wasteful number, since it uses less digits than its factorization.

1130187072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 1130187072 is about 33618.2550409744. The cubic root of 1130187072 is about 1041.6379121691.

Adding to 1130187072 its reverse (2707810311), we get a palindrome (3837997383).

The spelling of 1130187072 in words is "one billion, one hundred thirty million, one hundred eighty-seven thousand, seventy-two".