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1920295296 = 2733593937
BaseRepresentation
bin111001001110101…
…0110000110000000
311221211101002221000
41302131112012000
512413043422141
6514314332000
765405145363
oct16235260600
94854332830
101920295296
118a5a58307
1245712a000
13247abb50a
1414306c0da
15b38bb5b6
hex72756180

1920295296 has 128 divisors (see below), whose sum is σ = 5683154400. Its totient is φ = 638337024.

The previous prime is 1920295283. The next prime is 1920295319. The reversal of 1920295296 is 6925920291.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2048940 + ... + 2049876.

Almost surely, 21920295296 is an apocalyptic number.

1920295296 is a gapful number since it is divisible by the number (16) 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 1920295296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841577200).

1920295296 is an abundant number, since it is smaller than the sum of its proper divisors (3762859104).

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

1920295296 is an equidigital number, since it uses as much as digits as its factorization.

1920295296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1920295296 is about 43821.1740600363. The cubic root of 1920295296 is about 1242.9567180964.

The spelling of 1920295296 in words is "one billion, nine hundred twenty million, two hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 593 864 937 1152 1186 1728 1779 1874 2372 2811 3456 3558 3748 4744 5337 5622 7116 7496 8433 9488 10674 11244 14232 14992 16011 16866 18976 21348 22488 25299 28464 29984 32022 33732 37952 42696 44976 50598 56928 59968 64044 67464 75904 85392 89952 101196 113856 119936 128088 134928 170784 179904 202392 227712 256176 269856 341568 359808 404784 512352 539712 555641 683136 809568 1024704 1079424 1111282 1619136 1666923 2049408 2222564 3238272 3333846 4445128 5000769 6667692 8890256 10001538 13335384 15002307 17780512 20003076 26670768 30004614 35561024 40006152 53341536 60009228 71122048 80012304 106683072 120018456 160024608 213366144 240036912 320049216 480073824 640098432 960147648 1920295296