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1555145040 = 243517675689
BaseRepresentation
bin101110010110001…
…1010000101010000
311000101021112221110
41130230122011100
511141104120130
6414152053320
753352341361
oct13454320520
94011245843
101555145040
11728925539
12374994240
131ba25c487
1410a779b68
15917ddab0
hex5cb1a150

1555145040 has 160 divisors (see below), whose sum is σ = 5181632640. Its totient is φ = 384417792.

The previous prime is 1555145029. The next prime is 1555145063. The reversal of 1555145040 is 405415551.

1555145040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1555144989 and 1555145007.

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 31 ways as a sum of consecutive naturals, for example, 270516 + ... + 276204.

It is an arithmetic number, because the mean of its divisors is an integer number (32385204).

Almost surely, 21555145040 is an apocalyptic number.

1555145040 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 1555145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590816320).

1555145040 is an abundant number, since it is smaller than the sum of its proper divisors (3626487600).

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

1555145040 is a wasteful number, since it uses less digits than its factorization.

1555145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 1555145040 is about 39435.3273094062. The cubic root of 1555145040 is about 1158.5736133988.

The spelling of 1555145040 in words is "one billion, five hundred fifty-five million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 67 68 80 85 102 120 134 136 170 201 204 240 255 268 272 335 340 402 408 510 536 670 680 804 816 1005 1020 1072 1139 1340 1360 1608 2010 2040 2278 2680 3216 3417 4020 4080 4556 5360 5689 5695 6834 8040 9112 11378 11390 13668 16080 17067 17085 18224 22756 22780 27336 28445 34134 34170 45512 45560 54672 56890 68268 68340 85335 91024 91120 96713 113780 136536 136680 170670 193426 227560 273072 273360 290139 341340 381163 386852 455120 483565 580278 682680 762326 773704 967130 1143489 1160556 1365360 1450695 1524652 1547408 1905815 1934260 2286978 2321112 2901390 3049304 3811630 3868520 4573956 4642224 5717445 5802780 6098608 6479771 7623260 7737040 9147912 11434890 11605560 12959542 15246520 18295824 19439313 22869780 23211120 25919084 30493040 32398855 38878626 45739560 51838168 64797710 77757252 91479120 97196565 103676336 129595420 155514504 194393130 259190840 311029008 388786260 518381680 777572520 1555145040