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806060376 = 233311230841
BaseRepresentation
bin110000000010111…
…000000101011000
32002011202002222000
4300002320011120
53122322413001
6211552401000
725655254152
oct6002700530
92064662860
10806060376
11384000100
121a5b46160
13cacc5504
14790a5ad2
154ab72a86
hex300b8158

806060376 has 96 divisors (see below), whose sum is σ = 2461191600. Its totient is φ = 244252800.

The previous prime is 806060371. The next prime is 806060377. The reversal of 806060376 is 673060608.

It is a happy number.

It is a super-2 number, since 2×8060603762 = 1299466659514522752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 806060376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806060371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10716 + ... + 41556.

Almost surely, 2806060376 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 806060376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230595800).

806060376 is an abundant number, since it is smaller than the sum of its proper divisors (1655131224).

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

806060376 is a wasteful number, since it uses less digits than its factorization.

806060376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30878 (or 30857 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 806060376 is about 28391.2024401926. The cubic root of 806060376 is about 930.6560199665.

The spelling of 806060376 in words is "eight hundred six million, sixty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 13068 26136 30841 61682 92523 123364 185046 246728 277569 339251 370092 555138 678502 740184 832707 1017753 1110276 1357004 1665414 2035506 2220552 2714008 3053259 3330828 3731761 4071012 6106518 6661656 7463522 8142024 9159777 11195283 12213036 14927044 18319554 22390566 24426072 29854088 33585849 36639108 44781132 67171698 73278216 89562264 100757547 134343396 201515094 268686792 403030188 806060376