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1930924032 = 21233137137
BaseRepresentation
bin111001100010111…
…1001000000000000
311222120101002210220
41303011321000000
512423304032112
6515334223040
765564404062
oct16305710000
94876332726
101930924032
11900a57894
1245a7b4a80
1324a0702cb
14144637732
15b47ba98c
hex73179000

1930924032 has 208 divisors, whose sum is σ = 5498061312. Its totient is φ = 601620480.

The previous prime is 1930924027. The next prime is 1930924043. The reversal of 1930924032 is 2304290391.

It is a junction number, because it is equal to n+sod(n) for n = 1930923984 and 1930924002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14094268 + ... + 14094404.

Almost surely, 21930924032 is an apocalyptic number.

1930924032 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 1930924032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749030656).

1930924032 is an abundant number, since it is smaller than the sum of its proper divisors (3567137280).

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

1930924032 is a wasteful number, since it uses less digits than its factorization.

1930924032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1930924032 is about 43942.2806872834. The cubic root of 1930924032 is about 1245.2457339820.

The spelling of 1930924032 in words is "one billion, nine hundred thirty million, nine hundred twenty-four thousand, thirty-two".