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810298368 = 21032117993
BaseRepresentation
bin110000010011000…
…010110000000000
32002110201102101200
4300103002300000
53124414021433
6212223301200
726036264625
oct6023026000
92073642350
10810298368
11386435180
121a744a800
13cbb4a4b9
147988a34c
154b20d613
hex304c2c00

810298368 has 132 divisors (see below), whose sum is σ = 2552740008. Its totient is φ = 245514240.

The previous prime is 810298361. The next prime is 810298369. The reversal of 810298368 is 863892018.

It is a tau number, because it is divible by the number of its divisors (132).

It is not an unprimeable number, because it can be changed into a prime (810298361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97380 + ... + 105372.

Almost surely, 2810298368 is an apocalyptic number.

810298368 is a gapful number since it is divisible by the number (88) 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 810298368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276370004).

810298368 is an abundant number, since it is smaller than the sum of its proper divisors (1742441640).

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

810298368 is a wasteful number, since it uses less digits than its factorization.

810298368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8030 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 810298368 is about 28465.7402503430. The cubic root of 810298368 is about 932.2841943711.

The spelling of 810298368 in words is "eight hundred ten million, two hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 7993 8448 9216 11264 12672 15986 16896 23979 25344 31972 33792 47958 50688 63944 71937 87923 95916 101376 127888 143874 175846 191832 255776 263769 287748 351692 383664 511552 527538 575496 703384 767328 791307 1023104 1055076 1150992 1406768 1534656 1582614 2046208 2110152 2301984 2813536 3069312 3165228 4092416 4220304 4603968 5627072 6138624 6330456 8184832 8440608 9207936 11254144 12277248 12660912 16881216 18415872 22508288 24554496 25321824 33762432 36831744 45016576 50643648 67524864 73663488 90033152 101287296 135049728 202574592 270099456 405149184 810298368