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1930372096 = 21013732
BaseRepresentation
bin111001100001111…
…0010010000000000
311222112100001200211
41303003302100000
512423133401341
6515314323504
765556614662
oct16303622000
94875301624
101930372096
11900710144
1245a589594
13249c09013
14144532532
15b470c181
hex730f2400

1930372096 has 33 divisors (see below), whose sum is σ = 3861671641. Its totient is φ = 964483072.

The previous prime is 1930372043. The next prime is 1930372097. The reversal of 1930372096 is 6902730391.

The square root of 1930372096 is 43936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1907942400 + 22429696 = 43680^2 + 4736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1930372097) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 1405266 + ... + 1406638.

Almost surely, 21930372096 is an apocalyptic number.

1930372096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1930372096 is the 43936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1930372096

1930372096 is an abundant number, since it is smaller than the sum of its proper divisors (1931299545).

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

1930372096 is an frugal number, since it uses more digits than its factorization.

1930372096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The cubic root of 1930372096 is about 1245.1270755169.

The spelling of 1930372096 in words is "one billion, nine hundred thirty million, three hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1373 2746 5492 10984 21968 43936 87872 175744 351488 702976 1405952 1885129 3770258 7540516 15081032 30162064 60324128 120648256 241296512 482593024 965186048 1930372096