Search a number
-
+
514645136 = 24293137967
BaseRepresentation
bin11110101011001…
…101110010010000
31022212101200101222
4132223031302100
52023222121021
6123022344212
715516261065
oct3653156220
91285350358
10514645136
1124455a565
1212442b068
1382812065
144c4c8c6c
15302ac6ab
hex1eacdc90

514645136 has 80 divisors (see below), whose sum is σ = 1094691840. Its totient is φ = 233694720.

The previous prime is 514645127. The next prime is 514645139. The reversal of 514645136 is 631546415.

It is a junction number, because it is equal to n+sod(n) for n = 514645096 and 514645105.

It is not an unprimeable number, because it can be changed into a prime (514645139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531725 + ... + 532691.

It is an arithmetic number, because the mean of its divisors is an integer number (13683648).

Almost surely, 2514645136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514645136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547345920).

514645136 is an abundant number, since it is smaller than the sum of its proper divisors (580046704).

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

514645136 is a wasteful number, since it uses less digits than its factorization.

514645136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 514645136 is about 22685.7915004084. The cubic root of 514645136 is about 801.3753093005.

The spelling of 514645136 in words is "five hundred fourteen million, six hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 31 37 58 62 74 116 124 148 232 248 296 464 496 592 899 967 1073 1147 1798 1934 2146 2294 3596 3868 4292 4588 7192 7736 8584 9176 14384 15472 17168 18352 28043 29977 33263 35779 56086 59954 66526 71558 112172 119908 133052 143116 224344 239816 266104 286232 448688 479632 532208 572464 869333 1037591 1109149 1738666 2075182 2218298 3477332 4150364 4436596 6954664 8300728 8873192 13909328 16601456 17746384 32165321 64330642 128661284 257322568 514645136