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1383040620 = 2232513837121
BaseRepresentation
bin101001001101111…
…1000011001101100
310120101102202001200
41102123320121230
510313024244440
6345123205500
746162436253
oct12233703154
93511382050
101383040620
1164a765985
12327216890
131906c1340
14d197979a
1581644c30
hex526f866c

1383040620 has 144 divisors (see below), whose sum is σ = 4573007712. Its totient is φ = 336291840.

The previous prime is 1383040613. The next prime is 1383040643. The reversal of 1383040620 is 260403831.

It is a happy number.

1383040620 is a `hidden beast` number, since 1 + 3 + 8 + 30 + 4 + 0 + 620 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190660 + ... + 197780.

It is an arithmetic number, because the mean of its divisors is an integer number (31756998).

Almost surely, 21383040620 is an apocalyptic number.

1383040620 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 1383040620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286503856).

1383040620 is an abundant number, since it is smaller than the sum of its proper divisors (3189967092).

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

1383040620 is a wasteful number, since it uses less digits than its factorization.

1383040620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7232 (or 7227 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1383040620 is about 37189.2540930845. The cubic root of 1383040620 is about 1114.1533707291.

The spelling of 1383040620 in words is "one billion, three hundred eighty-three million, forty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 83 90 117 130 156 166 180 195 234 249 260 332 390 415 468 498 585 747 780 830 996 1079 1170 1245 1494 1660 2158 2340 2490 2988 3237 3735 4316 4980 5395 6474 7121 7470 9711 10790 12948 14242 14940 16185 19422 21363 21580 28484 32370 35605 38844 42726 48555 64089 64740 71210 85452 92573 97110 106815 128178 142420 185146 194220 213630 256356 277719 320445 370292 427260 462865 555438 591043 640890 833157 925730 1110876 1182086 1281780 1388595 1666314 1773129 1851460 2364172 2777190 2955215 3332628 3546258 4165785 5319387 5554380 5910430 7092516 7683559 8331570 8865645 10638774 11820860 15367118 16663140 17731290 21277548 23050677 26596935 30734236 35462580 38417795 46101354 53193870 69152031 76835590 92202708 106387740 115253385 138304062 153671180 230506770 276608124 345760155 461013540 691520310 1383040620