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6891037380 = 22325172132469
BaseRepresentation
bin1100110101011110…
…01110001011000100
3122210020200222011200
412122233032023010
5103103101144010
63055442502500
7332523564663
oct63257161304
918706628150
106891037380
112a168a1417
121403964a30
1385a874b16
144952b4dda
152a4e93cc0
hex19abce2c4

6891037380 has 108 divisors (see below), whose sum is σ = 22204886340. Its totient is φ = 1729502208.

The previous prime is 6891037379. The next prime is 6891037421. The reversal of 6891037380 is 837301986.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 380484036 + 6510553344 = 19506^2 + 80688^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14215 + ... + 118254.

Almost surely, 26891037380 is an apocalyptic number.

6891037380 is a gapful number since it is divisible by the number (60) 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 6891037380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11102443170).

6891037380 is an abundant number, since it is smaller than the sum of its proper divisors (15313848960).

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

6891037380 is a wasteful number, since it uses less digits than its factorization.

6891037380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132518 (or 132496 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6891037380 is about 83012.2724661842. The cubic root of 6891037380 is about 1902.9536129644.

The spelling of 6891037380 in words is "six billion, eight hundred ninety-one million, thirty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 17340 26010 52020 132469 264938 397407 529876 662345 794814 1192221 1324690 1589628 1987035 2251973 2384442 2649380 3974070 4503946 4768884 5961105 6755919 7948140 9007892 11259865 11922210 13511838 20267757 22519730 23844420 27023676 33779595 38283541 40535514 45039460 67559190 76567082 81071028 101338785 114850623 135118380 153134164 191417705 202677570 229701246 344551869 382835410 405355140 459402492 574253115 689103738 765670820 1148506230 1378207476 1722759345 2297012460 3445518690 6891037380