Search a number
-
+
5702730040 = 2357532511531
BaseRepresentation
bin1010100111110100…
…01100000100111000
3112201102200200221201
411103322030010320
543134344330130
62341513143544
7261214256050
oct52372140470
915642620851
105702730040
112467051537
1211319babb4
136cb615797
143c154a560
152359b7bca
hex153e8c138

5702730040 has 128 divisors (see below), whose sum is σ = 15010168320. Its totient is φ = 1909440000.

The previous prime is 5702730037. The next prime is 5702730071. The reversal of 5702730040 is 400372075.

It is a super-2 number, since 2×57027300402 = 65042259818236803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5702729990 and 5702730008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3724075 + ... + 3725605.

It is an arithmetic number, because the mean of its divisors is an integer number (117266940).

Almost surely, 25702730040 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 5702730040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505084160).

5702730040 is an abundant number, since it is smaller than the sum of its proper divisors (9307438280).

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

5702730040 is a wasteful number, since it uses less digits than its factorization.

5702730040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 5702730040 is about 75516.4223199166. The cubic root of 5702730040 is about 1786.6011301485.

The spelling of 5702730040 in words is "five billion, seven hundred two million, seven hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 251 265 280 371 424 502 530 742 1004 1060 1255 1484 1531 1757 1855 2008 2120 2510 2968 3062 3514 3710 5020 6124 7028 7420 7655 8785 10040 10717 12248 13303 14056 14840 15310 17570 21434 26606 30620 35140 42868 53212 53585 61240 66515 70280 81143 85736 93121 106424 107170 133030 162286 186242 214340 266060 324572 372484 384281 405715 428680 465605 532120 568001 649144 744968 768562 811430 931210 1136002 1537124 1622860 1862420 1921405 2272004 2689967 2840005 3074248 3245720 3724840 3842810 4544008 5379934 5680010 7685620 10759868 11360020 13449835 15371240 20366893 21519736 22720040 26899670 40733786 53799340 81467572 101834465 107598680 142568251 162935144 203668930 285136502 407337860 570273004 712841255 814675720 1140546008 1425682510 2851365020 5702730040