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7073040 = 2435132267
BaseRepresentation
bin11010111110110100010000
3111022100101110
4122332310100
53302314130
6411333320
7114056052
oct32766420
914270343
107073040
113aa1097
122451240
131608540
14d218d2
1594aab0
hex6bed10

7073040 has 80 divisors (see below), whose sum is σ = 23623488. Its totient is φ = 1740288.

The previous prime is 7073039. The next prime is 7073041. The reversal of 7073040 is 403707.

7073040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7073039) and next prime (7073041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 7072998 and 7073016.

It is not an unprimeable number, because it can be changed into a prime (7073041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1987 + ... + 4253.

Almost surely, 27073040 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 7073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11811744).

7073040 is an abundant number, since it is smaller than the sum of its proper divisors (16550448).

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

7073040 is a wasteful number, since it uses less digits than its factorization.

7073040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 7073040 is about 2659.5187534590. The cubic root of 7073040 is about 191.9561531820.

Adding to 7073040 its reverse (403707), we get a palindrome (7476747).

The spelling of 7073040 in words is "seven million, seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 2267 3120 4534 6801 9068 11335 13602 18136 22670 27204 29471 34005 36272 45340 54408 58942 68010 88413 90680 108816 117884 136020 147355 176826 181360 235768 272040 294710 353652 442065 471536 544080 589420 707304 884130 1178840 1414608 1768260 2357680 3536520 7073040