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7130165140 = 2257239972221
BaseRepresentation
bin1101010001111110…
…11010111110010100
3200101220122220210101
412220333122332110
5104100310241030
63135304103444
7341456255320
oct65077327624
920356586711
107130165140
11302987966a
12146ba64b84
1389827b937
144b8d60980
152bae7b7ca
hex1a8fdaf94

7130165140 has 96 divisors (see below), whose sum is σ = 17882371584. Its totient is φ = 2334942720.

The previous prime is 7130165123. The next prime is 7130165149. The reversal of 7130165140 is 415610317.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 7130165099 and 7130165108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7130165149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3209230 + ... + 3211450.

It is an arithmetic number, because the mean of its divisors is an integer number (186274704).

Almost surely, 27130165140 is an apocalyptic number.

7130165140 is a gapful number since it is divisible by the number (70) 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 7130165140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941185792).

7130165140 is an abundant number, since it is smaller than the sum of its proper divisors (10752206444).

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

7130165140 is a wasteful number, since it uses less digits than its factorization.

7130165140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 7130165140 is about 84440.3051865636. The cubic root of 7130165140 is about 1924.7154368818.

Adding to 7130165140 its reverse (415610317), we get a palindrome (7545775457).

The spelling of 7130165140 in words is "seven billion, one hundred thirty million, one hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 997 1610 1994 2221 3220 3988 4442 4985 6979 8884 9970 11105 13958 15547 19940 22210 22931 27916 31094 34895 44420 45862 51083 62188 69790 77735 91724 102166 114655 139580 155470 160517 204332 229310 255415 310940 321034 357581 458620 510830 642068 715162 802585 1021660 1430324 1605170 1787905 2214337 3210340 3575810 4428674 7151620 8857348 11071685 15500359 22143370 31000718 44286740 50929751 62001436 77501795 101859502 155003590 203719004 254648755 310007180 356508257 509297510 713016514 1018595020 1426033028 1782541285 3565082570 7130165140