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1934080920 = 233255779311
BaseRepresentation
bin111001101000111…
…1011101110011000
311222210022111020200
41303101323232120
512430111042140
6515530022200
765633262612
oct16321735630
94883274220
101934080920
11902813692
1245b877960
1324a9071a5
14144c19db2
15b4be1030
hex7347bb98

1934080920 has 96 divisors (see below), whose sum is σ = 6297333120. Its totient is φ = 514805760.

The previous prime is 1934080903. The next prime is 1934080921. The reversal of 1934080920 is 290804391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1934080921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203065 + ... + 212375.

It is an arithmetic number, because the mean of its divisors is an integer number (65597220).

Almost surely, 21934080920 is an apocalyptic number.

1934080920 is a gapful number since it is divisible by the number (10) 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 1934080920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148666560).

1934080920 is an abundant number, since it is smaller than the sum of its proper divisors (4363252200).

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

1934080920 is a wasteful number, since it uses less digits than its factorization.

1934080920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9905 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1934080920 is about 43978.1868657633. The cubic root of 1934080920 is about 1245.9239862696.

The spelling of 1934080920 in words is "one billion, nine hundred thirty-four million, eighty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 577 1154 1731 2308 2885 3462 4616 5193 5770 6924 8655 9311 10386 11540 13848 17310 18622 20772 23080 25965 27933 34620 37244 41544 46555 51930 55866 69240 74488 83799 93110 103860 111732 139665 167598 186220 207720 223464 279330 335196 372440 418995 558660 670392 837990 1117320 1675980 3351960 5372447 10744894 16117341 21489788 26862235 32234682 42979576 48352023 53724470 64469364 80586705 96704046 107448940 128938728 161173410 193408092 214897880 241760115 322346820 386816184 483520230 644693640 967040460 1934080920