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1355123320 = 2351916310939
BaseRepresentation
bin101000011000101…
…1000101001111000
310111102220101201121
41100301120221320
510233402421240
6342244555024
745403233565
oct12061305170
93442811647
101355123320
11635a28231
123199b2a74
13187998325
14cbd8d86c
157de7d04a
hex50c58a78

1355123320 has 64 divisors (see below), whose sum is σ = 3229488000. Its totient is φ = 510323328.

The previous prime is 1355123293. The next prime is 1355123327. The reversal of 1355123320 is 233215531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355123327) 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 15 ways as a sum of consecutive naturals, for example, 118411 + ... + 129349.

It is an arithmetic number, because the mean of its divisors is an integer number (50460750).

Almost surely, 21355123320 is an apocalyptic number.

1355123320 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 1355123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614744000).

1355123320 is an abundant number, since it is smaller than the sum of its proper divisors (1874364680).

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

1355123320 is a wasteful number, since it uses less digits than its factorization.

1355123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11132 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 1355123320 is about 36811.9996740193. Note that the first 3 decimals coincide. The cubic root of 1355123320 is about 1106.6057937356.

Adding to 1355123320 its reverse (233215531), we get a palindrome (1588338851).

The spelling of 1355123320 in words is "one billion, three hundred fifty-five million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 163 190 326 380 652 760 815 1304 1630 3097 3260 6194 6520 10939 12388 15485 21878 24776 30970 43756 54695 61940 87512 109390 123880 207841 218780 415682 437560 831364 1039205 1662728 1783057 2078410 3566114 4156820 7132228 8313640 8915285 14264456 17830570 33878083 35661140 67756166 71322280 135512332 169390415 271024664 338780830 677561660 1355123320