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6107506140 = 22352911293109
BaseRepresentation
bin1011011000000100…
…10010010111011100
3120202122100110101010
411230002102113130
5100002010144030
62450013015220
7304230642231
oct55402222734
916678313333
106107506140
11265458983a
121225484510
13764439c78
1441d1d5788
1525b2c16b0
hex16c0925dc

6107506140 has 96 divisors (see below), whose sum is σ = 17712072000. Its totient is φ = 1570609152.

The previous prime is 6107506117. The next prime is 6107506147. The reversal of 6107506140 is 416057016.

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 = 6107506098 and 6107506107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6107506147) 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, 1962906 + ... + 1966014.

It is an arithmetic number, because the mean of its divisors is an integer number (184500750).

Almost surely, 26107506140 is an apocalyptic number.

6107506140 is a gapful number since it is divisible by the number (60) 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 6107506140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856036000).

6107506140 is an abundant number, since it is smaller than the sum of its proper divisors (11604565860).

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

6107506140 is a wasteful number, since it uses less digits than its factorization.

6107506140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 6107506140 is about 78150.5351229280. The cubic root of 6107506140 is about 1827.9092788396.

The spelling of 6107506140 in words is "six billion, one hundred seven million, five hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1129 1740 2258 3109 3387 4516 5645 6218 6774 9327 11290 12436 13548 15545 16935 18654 22580 31090 32741 33870 37308 46635 62180 65482 67740 90161 93270 98223 130964 163705 180322 186540 196446 270483 327410 360644 392892 450805 491115 540966 654820 901610 982230 1081932 1352415 1803220 1964460 2704830 3510061 5409660 7020122 10530183 14040244 17550305 21060366 35100610 42120732 52650915 70201220 101791769 105301830 203583538 210603660 305375307 407167076 508958845 610750614 1017917690 1221501228 1526876535 2035835380 3053753070 6107506140