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807216660 = 223256173517
BaseRepresentation
bin110000000111010…
…010011000010100
32002020220212002100
4300013102120110
53123121413120
6212033242100
726001141225
oct6007223024
92066825070
10807216660
1138471a908
121a6403330
13cb30b8c3
14792c724c
154ad00490
hex301d2614

807216660 has 72 divisors (see below), whose sum is σ = 2488731336. Its totient is φ = 211726080.

The previous prime is 807216649. The next prime is 807216677. The reversal of 807216660 is 66612708.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64545156 + 742671504 = 8034^2 + 27252^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25779 + ... + 47738.

It is an arithmetic number, because the mean of its divisors is an integer number (34565713).

Almost surely, 2807216660 is an apocalyptic number.

It is an amenable number.

807216660 is an abundant number, since it is smaller than the sum of its proper divisors (1681514676).

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

807216660 is a wasteful number, since it uses less digits than its factorization.

807216660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73593 (or 73588 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 807216660 is about 28411.5585633735. The cubic root of 807216660 is about 931.1008123398.

The spelling of 807216660 in words is "eight hundred seven million, two hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 73517 147034 220551 294068 367585 441102 661653 735170 882204 1102755 1323306 1470340 2205510 2646612 3308265 4411020 4484537 6616530 8969074 13233060 13453611 17938148 22422685 26907222 40360833 44845370 53814444 67268055 80721666 89690740 134536110 161443332 201804165 269072220 403608330 807216660