Search a number
-
+
7057823040 = 263252450633
BaseRepresentation
bin1101001001010110…
…11101010101000000
3200012212112120002100
412210223131111000
5103423300314130
63124201350400
7336620335362
oct64453352500
920185476070
107057823040
112aa1a58a04
12144b798400
138862a0068
144ad4ccd32
152b493bc60
hex1a4add540

7057823040 has 84 divisors (see below), whose sum is σ = 24275980404. Its totient is φ = 1882085376.

The previous prime is 7057823039. The next prime is 7057823053. The reversal of 7057823040 is 403287507.

It can be written as a sum of positive squares in 2 ways, for example, as 2290196736 + 4767626304 = 47856^2 + 69048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7057822986 and 7057823004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222437 + ... + 1228196.

Almost surely, 27057823040 is an apocalyptic number.

It is an amenable number.

7057823040 is an abundant number, since it is smaller than the sum of its proper divisors (17218157364).

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

7057823040 is a wasteful number, since it uses less digits than its factorization.

7057823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450656 (or 2450643 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7057823040 is about 84010.8507277483. The cubic root of 7057823040 is about 1918.1839599157.

The spelling of 7057823040 in words is "seven billion, fifty-seven million, eight hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 2450633 4901266 7351899 9802532 12253165 14703798 19605064 22055697 24506330 29407596 36759495 39210128 44111394 49012660 58815192 73518990 78420256 88222788 98025320 110278485 117630384 147037980 156840512 176445576 196050640 220556970 235260768 294075960 352891152 392101280 441113940 470521536 588151920 705782304 784202560 882227880 1176303840 1411564608 1764455760 2352607680 3528911520 7057823040