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1930105032 = 23380421043
BaseRepresentation
bin111001100001011…
…0001000011001000
311222111211111100120
41303002301003020
512423101330112
6515304503240
765554423242
oct16302610310
94874744316
101930105032
11900548529
1245a47ab20
13249b445ab
141444a3092
15b46a7e8c
hex730b10c8

1930105032 has 16 divisors (see below), whose sum is σ = 4825262640. Its totient is φ = 643368336.

The previous prime is 1930105003. The next prime is 1930105033. The reversal of 1930105032 is 2305010391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 80421043 = 1930105032 / (1 + 9 + 3 + 0 + 1 + 0 + 5 + 0 + 3 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 1930104993 and 1930105011.

It is not an unprimeable number, because it can be changed into a prime (1930105033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40210498 + ... + 40210545.

It is an arithmetic number, because the mean of its divisors is an integer number (301578915).

Almost surely, 21930105032 is an apocalyptic number.

1930105032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1930105032 is an abundant number, since it is smaller than the sum of its proper divisors (2895157608).

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

1930105032 is a wasteful number, since it uses less digits than its factorization.

1930105032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80421052 (or 80421048 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 1930105032 is about 43932.9606559813. The cubic root of 1930105032 is about 1245.0696523990.

The spelling of 1930105032 in words is "one billion, nine hundred thirty million, one hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 80421043 160842086 241263129 321684172 482526258 643368344 965052516 1930105032