Search a number
-
+
6730511928 = 23373110312547
BaseRepresentation
bin1100100010010101…
…10111011000111000
3122101001122102122120
412101022313120320
5102241002340203
63031510121240
7325534256520
oct62112673070
918331572576
106730511928
112944220258
12137a050220
1383352c14a
1447bc4a680
15295d35b53
hex1912b7638

6730511928 has 128 divisors (see below), whose sum is σ = 20044677120. Its totient is φ = 1842756480.

The previous prime is 6730511917. The next prime is 6730511993. The reversal of 6730511928 is 8291150376.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 6730511928.

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, 530151 + ... + 542697.

It is an arithmetic number, because the mean of its divisors is an integer number (156599040).

Almost surely, 26730511928 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 6730511928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10022338560).

6730511928 is an abundant number, since it is smaller than the sum of its proper divisors (13314165192).

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

6730511928 is a wasteful number, since it uses less digits than its factorization.

6730511928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12697 (or 12693 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 6730511928 is about 82039.6972690660. The cubic root of 6730511928 is about 1888.0610489392.

The spelling of 6730511928 in words is "six billion, seven hundred thirty million, five hundred eleven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 103 124 168 186 206 217 248 309 372 412 434 618 651 721 744 824 868 1236 1302 1442 1736 2163 2472 2604 2884 3193 4326 5208 5768 6386 8652 9579 12547 12772 17304 19158 22351 25094 25544 37641 38316 44702 50188 67053 75282 76632 87829 89404 100376 134106 150564 175658 178808 263487 268212 301128 351316 388957 526974 536424 702632 777914 1053948 1166871 1292341 1555828 2107896 2333742 2584682 2722699 3111656 3877023 4667484 5169364 5445398 7754046 8168097 9046387 9334968 10338728 10890796 15508092 16336194 18092774 21781592 27139161 31016184 32672388 36185548 40062571 54278322 65344776 72371096 80125142 108556644 120187713 160250284 217113288 240375426 280437997 320500568 480750852 560875994 841313991 961501704 1121751988 1682627982 2243503976 3365255964 6730511928