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1930306896 = 243374115569
BaseRepresentation
bin111001100001110…
…0010010101010000
311222112012202021000
41303003202111100
512423124310041
6515313102000
765556223620
oct16303422520
94875182230
101930306896
11900676161
1245a557900
13249bb543b
14144516880
15b46e7bb6
hex730e2550

1930306896 has 160 divisors (see below), whose sum is σ = 6487084800. Its totient is φ = 538030080.

The previous prime is 1930306883. The next prime is 1930306897. The reversal of 1930306896 is 6986030391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930306897) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 116200 + ... + 131768.

It is an arithmetic number, because the mean of its divisors is an integer number (40544280).

Almost surely, 21930306896 is an apocalyptic number.

1930306896 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 1930306896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243542400).

1930306896 is an abundant number, since it is smaller than the sum of its proper divisors (4556777904).

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

1930306896 is a wasteful number, since it uses less digits than its factorization.

1930306896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15634 (or 15622 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1930306896 is about 43935.2580053879. The cubic root of 1930306896 is about 1245.1130569417.

The spelling of 1930306896 in words is "one billion, nine hundred thirty million, three hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 164 168 189 216 246 252 287 328 336 369 378 432 492 504 574 656 738 756 861 984 1008 1107 1148 1476 1512 1722 1968 2214 2296 2583 2952 3024 3444 4428 4592 5166 5904 6888 7749 8856 10332 13776 15498 15569 17712 20664 30996 31138 41328 46707 61992 62276 93414 108983 123984 124552 140121 186828 217966 249104 280242 326949 373656 420363 435932 560484 638329 653898 747312 840726 871864 980847 1120968 1276658 1307796 1681452 1743728 1914987 1961694 2241936 2553316 2615592 2942541 3362904 3829974 3923388 4468303 5106632 5231184 5744961 5885082 6725808 7659948 7846776 8936606 10213264 11489922 11770164 13404909 15319896 15693552 17234883 17873212 22979844 23540328 26809818 30639792 34469766 35746424 40214727 45959688 47080656 53619636 68939532 71492848 80429454 91919376 107239272 120644181 137879064 160858908 214478544 241288362 275758128 321717816 482576724 643435632 965153448 1930306896