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1370917120 = 28510211049
BaseRepresentation
bin101000110110110…
…1000100100000000
310112112121210202011
41101231220210000
510301423321440
6344011302304
745654413626
oct12155504400
93475553664
101370917120
11643935361
1232314a994
1318b038081
14d0101516
158054c9ea
hex51b68900

1370917120 has 72 divisors (see below), whose sum is σ = 3290124600. Its totient is φ = 547307520.

The previous prime is 1370917117. The next prime is 1370917129. The reversal of 1370917120 is 217190731.

It can be written as a sum of positive squares in 4 ways, for example, as 437981184 + 932935936 = 20928^2 + 30544^2 .

It is not an unprimeable number, because it can be changed into a prime (1370917129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306356 + ... + 1307404.

It is an arithmetic number, because the mean of its divisors is an integer number (45696175).

Almost surely, 21370917120 is an apocalyptic number.

1370917120 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 1370917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645062300).

1370917120 is an abundant number, since it is smaller than the sum of its proper divisors (1919207480).

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

1370917120 is a wasteful number, since it uses less digits than its factorization.

1370917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 31.

The square root of 1370917120 is about 37025.8979634526. The cubic root of 1370917120 is about 1110.8883184708. Note that the first 3 decimals are identical.

The spelling of 1370917120 in words is "one billion, three hundred seventy million, nine hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1021 1049 1280 2042 2098 4084 4196 5105 5245 8168 8392 10210 10490 16336 16784 20420 20980 32672 33568 40840 41960 65344 67136 81680 83920 130688 134272 163360 167840 261376 268544 326720 335680 653440 671360 1071029 1306880 1342720 2142058 4284116 5355145 8568232 10710290 17136464 21420580 34272928 42841160 68545856 85682320 137091712 171364640 274183424 342729280 685458560 1370917120