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807126930 = 2365532089
BaseRepresentation
bin110000000110111…
…100011110010010
32002020202022000000
4300012330132102
53123111030210
6212031310430
726000315511
oct6006743622
92066668000
10807126930
11384669455
121a637b416
13cb2a9acc
14792a2678
154acd3ac0
hex301bc792

807126930 has 112 divisors (see below), whose sum is σ = 2220407640. Its totient is φ = 211071744.

The previous prime is 807126919. The next prime is 807126953. The reversal of 807126930 is 39621708.

It can be written as a sum of positive squares in 4 ways, for example, as 793041921 + 14085009 = 28161^2 + 3753^2 .

It is a super-2 number, since 2×8071269302 = 1302907762262449800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 385326 + ... + 387414.

Almost surely, 2807126930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807126930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110203820).

807126930 is an abundant number, since it is smaller than the sum of its proper divisors (1413280710).

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

807126930 is a wasteful number, since it uses less digits than its factorization.

807126930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 807126930 is about 28409.9794086515. The cubic root of 807126930 is about 931.0663107510.

The spelling of 807126930 in words is "eight hundred seven million, one hundred twenty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 243 265 270 318 405 477 486 530 729 795 810 954 1215 1431 1458 1590 2089 2385 2430 2862 3645 4178 4293 4770 6267 7155 7290 8586 10445 12534 12879 14310 18801 20890 21465 25758 31335 37602 38637 42930 56403 62670 64395 77274 94005 110717 112806 128790 169209 188010 193185 221434 282015 332151 338418 386370 507627 553585 564030 664302 846045 996453 1015254 1107170 1522881 1660755 1692090 1992906 2538135 2989359 3045762 3321510 4982265 5076270 5978718 7614405 8968077 9964530 14946795 15228810 17936154 26904231 29893590 44840385 53808462 80712693 89680770 134521155 161425386 269042310 403563465 807126930