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1130148792 = 23322329101233
BaseRepresentation
bin100001101011100…
…1011001110111000
32220202120111200200
41003113023032320
54303304230132
6304051002200
740002051303
oct10327131670
92822514620
101130148792
1152aa37573
12276599360
131501a85c6
14aa149b3a
156933dd7c
hex435cb3b8

1130148792 has 192 divisors, whose sum is σ = 3351067200. Its totient is φ = 342988800.

The previous prime is 1130148791. The next prime is 1130148871. The reversal of 1130148792 is 2978410311.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130148791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4850308 + ... + 4850540.

It is an arithmetic number, because the mean of its divisors is an integer number (17453475).

Almost surely, 21130148792 is an apocalyptic number.

1130148792 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 1130148792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675533600).

1130148792 is an abundant number, since it is smaller than the sum of its proper divisors (2220918408).

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

1130148792 is a wasteful number, since it uses less digits than its factorization.

1130148792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1130148792 is about 33617.6857026179. The cubic root of 1130148792 is about 1041.6261517711.

The spelling of 1130148792 in words is "one billion, one hundred thirty million, one hundred forty-eight thousand, seven hundred ninety-two".