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806402730 = 235723916067
BaseRepresentation
bin110000000100001…
…011101010101010
32002012101111120210
4300010023222222
53122414341410
6212004001550
725661211240
oct6004135252
92065344523
10806402730
11384214341
121a60902b6
13cb0b52a3
1479154790
154abde220
hex3010baaa

806402730 has 64 divisors (see below), whose sum is σ = 2221240320. Its totient is φ = 183537984.

The previous prime is 806402713. The next prime is 806402743. The reversal of 806402730 is 37204608.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42157 + ... + 58223.

It is an arithmetic number, because the mean of its divisors is an integer number (34706880).

Almost surely, 2806402730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806402730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110620160).

806402730 is an abundant number, since it is smaller than the sum of its proper divisors (1414837590).

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

806402730 is a wasteful number, since it uses less digits than its factorization.

806402730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16323.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 806402730 is about 28397.2310269857. The cubic root of 806402730 is about 930.7877589460.

The spelling of 806402730 in words is "eight hundred six million, four hundred two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 239 478 717 1195 1434 1673 2390 3346 3585 5019 7170 8365 10038 16067 16730 25095 32134 48201 50190 80335 96402 112469 160670 224938 241005 337407 482010 562345 674814 1124690 1687035 3374070 3840013 7680026 11520039 19200065 23040078 26880091 38400130 53760182 57600195 80640273 115200390 134400455 161280546 268800910 403201365 806402730