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7121808 = 2432192137
BaseRepresentation
bin11011001010101110010000
3111101211021200
4123022232100
53310344213
6412351200
7114351201
oct33125620
914354250
107121808
1140247a1
122475500
1316247b5
14d355a8
1595a273
hex6cab90

7121808 has 90 divisors (see below), whose sum is σ = 21188934. Its totient is φ = 2232576.

The previous prime is 7121801. The next prime is 7121809. The reversal of 7121808 is 8081217.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 831744 = 2508^2 + 912^2 .

It is a super-3 number, since 3×71218083 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7121801) 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 17 ways as a sum of consecutive naturals, for example, 51916 + ... + 52052.

Almost surely, 27121808 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 7121808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10594467).

7121808 is an abundant number, since it is smaller than the sum of its proper divisors (14067126).

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

7121808 is a wasteful number, since it uses less digits than its factorization.

7121808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 7121808 is about 2668.6715796441. The cubic root of 7121808 is about 192.3963167965.

The spelling of 7121808 in words is "seven million, one hundred twenty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 137 144 152 171 228 274 304 342 361 411 456 548 684 722 822 912 1083 1096 1233 1368 1444 1644 2166 2192 2466 2603 2736 2888 3249 3288 4332 4932 5206 5776 6498 6576 7809 8664 9864 10412 12996 15618 17328 19728 20824 23427 25992 31236 41648 46854 49457 51984 62472 93708 98914 124944 148371 187416 197828 296742 374832 395656 445113 593484 791312 890226 1186968 1780452 2373936 3560904 7121808