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8070816 = 2531329223
BaseRepresentation
bin11110110010011010100000
3120012001002010
4132302122200
54031231231
6444552520
7125413035
oct36623240
916161063
108070816
1146127a6
122852740
131897740
14110138c
15a96546
hex7b26a0

8070816 has 96 divisors (see below), whose sum is σ = 23708160. Its totient is φ = 2386944.

The previous prime is 8070781. The next prime is 8070817. The reversal of 8070816 is 6180708.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8070817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36081 + ... + 36303.

It is an arithmetic number, because the mean of its divisors is an integer number (246960).

Almost surely, 28070816 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 8070816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854080).

8070816 is an abundant number, since it is smaller than the sum of its proper divisors (15637344).

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

8070816 is a wasteful number, since it uses less digits than its factorization.

8070816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 8070816 is about 2840.9181614401. The cubic root of 8070816 is about 200.5884005596.

The spelling of 8070816 in words is "eight million, seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 223 232 312 348 377 416 446 464 624 669 696 754 892 928 1131 1248 1338 1392 1508 1784 2262 2676 2784 2899 3016 3568 4524 5352 5798 6032 6467 7136 8697 9048 10704 11596 12064 12934 17394 18096 19401 21408 23192 25868 34788 36192 38802 46384 51736 69576 77604 84071 92768 103472 139152 155208 168142 206944 252213 278304 310416 336284 504426 620832 672568 1008852 1345136 2017704 2690272 4035408 8070816