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8730104832 = 21034105253
BaseRepresentation
bin10000010000101101…
…01101010000000000
3211112102020021110000
420020112231100000
5120334401323312
64002140240000
7426224444451
oct101026552000
924472207400
108730104832
11377aa09a79
121837840000
13a91893107
145cb63b128
15361667adc
hex2085ad400

8730104832 has 110 divisors (see below), whose sum is σ = 26070047498. Its totient is φ = 2910007296.

The previous prime is 8730104783. The next prime is 8730104837. The reversal of 8730104832 is 2384010378.

It can be written as a sum of positive squares in only one way, i.e., 5478368256 + 3251736576 = 74016^2 + 57024^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8730104837) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 30318 + ... + 135570.

Almost surely, 28730104832 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 8730104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035023749).

8730104832 is an abundant number, since it is smaller than the sum of its proper divisors (17339942666).

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

8730104832 is a wasteful number, since it uses less digits than its factorization.

8730104832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105285 (or 105258 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8730104832 is about 93435.0300048114. The cubic root of 8730104832 is about 2059.0796806481.

The spelling of 8730104832 in words is "eight billion, seven hundred thirty million, one hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 82944 105253 210506 315759 421012 631518 842024 947277 1263036 1684048 1894554 2526072 2841831 3368096 3789108 5052144 5683662 6736192 7578216 8525493 10104288 11367324 13472384 15156432 17050986 20208576 22734648 26944768 30312864 34101972 40417152 45469296 53889536 60625728 68203944 80834304 90938592 107779072 121251456 136407888 161668608 181877184 242502912 272815776 323337216 363754368 485005824 545631552 727508736 970011648 1091263104 1455017472 2182526208 2910034944 4365052416 8730104832