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516065130 = 232577910369
BaseRepresentation
bin11110110000101…
…000011101101010
31022222001211021100
4132300220131222
52024103041010
6123113022230
715534324030
oct3660503552
91288054240
10516065130
1124533a409
121249b4976
1382bbb4a9
144c778550
153048d2c0
hex1ec2876a

516065130 has 96 divisors (see below), whose sum is σ = 1553011200. Its totient is φ = 116453376.

The previous prime is 516065129. The next prime is 516065167. The reversal of 516065130 is 31560615.

It is a happy number.

516065130 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 651 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 516065094 and 516065103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44586 + ... + 54954.

It is an arithmetic number, because the mean of its divisors is an integer number (16177200).

Almost surely, 2516065130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516065130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776505600).

516065130 is an abundant number, since it is smaller than the sum of its proper divisors (1036946070).

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

516065130 is a wasteful number, since it uses less digits than its factorization.

516065130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10468 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 516065130 is about 22717.0669321548. The cubic root of 516065130 is about 802.1116763328. Note that the first 3 decimals are identical.

The spelling of 516065130 in words is "five hundred sixteen million, sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 79 90 105 126 158 210 237 315 395 474 553 630 711 790 1106 1185 1422 1659 2370 2765 3318 3555 4977 5530 7110 8295 9954 10369 16590 20738 24885 31107 49770 51845 62214 72583 93321 103690 145166 155535 186642 217749 311070 362915 435498 466605 653247 725830 819151 933210 1088745 1306494 1638302 2177490 2457453 3266235 4095755 4914906 5734057 6532470 7372359 8191510 11468114 12287265 14744718 17202171 24574530 28670285 34404342 36861795 51606513 57340570 73723590 86010855 103213026 172021710 258032565 516065130