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6689098240 = 29511298191
BaseRepresentation
bin1100011101011001…
…11000101000000000
3122021011201101202021
412032230320220000
5102144402120430
63023430331224
7324522253066
oct61654705000
918234641667
106689098240
112922904570
1213681b9b14
13827a8bcc6
1447654a036
152923a507a
hex18eb38a00

6689098240 has 160 divisors (see below), whose sum is σ = 18101698560. Its totient is φ = 2348236800.

The previous prime is 6689098237. The next prime is 6689098261. The reversal of 6689098240 is 428909866.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812545 + ... + 820735.

It is an arithmetic number, because the mean of its divisors is an integer number (113135616).

Almost surely, 26689098240 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 6689098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050849280).

6689098240 is an abundant number, since it is smaller than the sum of its proper divisors (11412600320).

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

6689098240 is a wasteful number, since it uses less digits than its factorization.

6689098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The square root of 6689098240 is about 81786.9075096986. The cubic root of 6689098240 is about 1884.1805865156.

The spelling of 6689098240 in words is "six billion, six hundred eighty-nine million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 256 290 319 320 352 440 464 512 580 638 640 704 880 928 1160 1276 1280 1408 1595 1760 1856 2320 2552 2560 2816 3190 3520 3712 4640 5104 5632 6380 7040 7424 8191 9280 10208 12760 14080 14848 16382 18560 20416 25520 28160 32764 37120 40832 40955 51040 65528 74240 81664 81910 90101 102080 131056 163328 163820 180202 204160 237539 262112 327640 360404 408320 450505 475078 524224 655280 720808 816640 901010 950156 1048448 1187695 1310560 1441616 1802020 1900312 2096896 2375390 2612929 2621120 2883232 3604040 3800624 4193792 4750780 5225858 5242240 5766464 7208080 7601248 9501560 10451716 10484480 11532928 13064645 14416160 15202496 19003120 20903432 20968960 23065856 26129290 28832320 30404992 38006240 41806864 46131712 52258580 57664640 60809984 76012480 83613728 104517160 115329280 121619968 152024960 167227456 209034320 230658560 304049920 334454912 418068640 608099840 668909824 836137280 1337819648 1672274560 3344549120 6689098240