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7042320 = 243259781
BaseRepresentation
bin11010110111010100010000
3111020210020200
4122313110100
53300323240
6410535200
7113600355
oct32672420
914223220
107042320
113a7aaaa
122437500
1315c756c
14d1462c
15941930
hex6b7510

7042320 has 60 divisors (see below), whose sum is σ = 23652876. Its totient is φ = 1877760.

The previous prime is 7042319. The next prime is 7042327. The reversal of 7042320 is 232407.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 4260096 = 1668^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 7042293 and 7042302.

It is not an unprimeable number, because it can be changed into a prime (7042327) 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 11 ways as a sum of consecutive naturals, for example, 4171 + ... + 5610.

Almost surely, 27042320 is an apocalyptic number.

It is an amenable number.

7042320 is an abundant number, since it is smaller than the sum of its proper divisors (16610556).

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

7042320 is a wasteful number, since it uses less digits than its factorization.

7042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9800 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 7042320 is about 2653.7369877213. The cubic root of 7042320 is about 191.6778451787.

Adding to 7042320 its reverse (232407), we get a palindrome (7274727).

The spelling of 7042320 in words is "seven million, forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 9781 19562 29343 39124 48905 58686 78248 88029 97810 117372 146715 156496 176058 195620 234744 293430 352116 391240 440145 469488 586860 704232 782480 880290 1173720 1408464 1760580 2347440 3521160 7042320