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7056640 = 28537149
BaseRepresentation
bin11010111010110100000000
3111021111220001
4122322310000
53301303030
6411125344
7113660203
oct32726400
914244801
107056640
113a8a838
122443854
131600c36
14d1993a
15945cca
hex6bad00

7056640 has 72 divisors (see below), whose sum is σ = 17476200. Its totient is φ = 2727936.

The previous prime is 7056631. The next prime is 7056661. The reversal of 7056640 is 466507.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 6310144 = 864^2 + 2512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7056599 and 7056608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47286 + ... + 47434.

It is an arithmetic number, because the mean of its divisors is an integer number (242725).

Almost surely, 27056640 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 7056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738100).

7056640 is an abundant number, since it is smaller than the sum of its proper divisors (10419560).

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

7056640 is a wasteful number, since it uses less digits than its factorization.

7056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 7056640 is about 2656.4336995303. The cubic root of 7056640 is about 191.8076777897.

The spelling of 7056640 in words is "seven million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 149 160 185 256 296 298 320 370 592 596 640 740 745 1184 1192 1280 1480 1490 2368 2384 2960 2980 4736 4768 5513 5920 5960 9472 9536 11026 11840 11920 19072 22052 23680 23840 27565 38144 44104 47360 47680 55130 88208 95360 110260 176416 190720 220520 352832 441040 705664 882080 1411328 1764160 3528320 7056640