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7052640 = 253572099
BaseRepresentation
bin11010111001110101100000
3111021022101220
4122321311200
53301141030
6411055040
7113642430
oct32716540
914238356
107052640
113a87831
122441480
1315cc17a
14d182c0
15944a10
hex6b9d60

7052640 has 96 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 1611264.

The previous prime is 7052611. The next prime is 7052699. The reversal of 7052640 is 462507.

It is a happy number.

7052640 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

7052640 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 7052640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2311 + ... + 4409.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 27052640 is an apocalyptic number.

7052640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

7052640 is an abundant number, since it is smaller than the sum of its proper divisors (18348960).

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

7052640 is a wasteful number, since it uses less digits than its factorization.

7052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 7052640 is about 2655.6807036991. The cubic root of 7052640 is about 191.7714293900.

The spelling of 7052640 in words is "seven million, fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 2099 3360 4198 6297 8396 10495 12594 14693 16792 20990 25188 29386 31485 33584 41980 44079 50376 58772 62970 67168 73465 83960 88158 100752 117544 125940 146930 167920 176316 201504 220395 235088 251880 293860 335840 352632 440790 470176 503760 587720 705264 881580 1007520 1175440 1410528 1763160 2350880 3526320 7052640