Search a number
-
+
6904857920 = 265711272393
BaseRepresentation
bin1100110111000111…
…11100010101000000
3122211012201010101112
412123203330111000
5103120120423140
63101055022452
7333052216052
oct63343742500
918735633345
106904857920
112a23680a54
12140850aa28
138606a365c
144970718d2
152a62c3c65
hex19b8fc540

6904857920 has 112 divisors (see below), whose sum is σ = 16812085248. Its totient is φ = 2700472320.

The previous prime is 6904857919. The next prime is 6904857961. The reversal of 6904857920 is 297584096.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2884244 + ... + 2886636.

It is an arithmetic number, because the mean of its divisors is an integer number (150107904).

Almost surely, 26904857920 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 6904857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406042624).

6904857920 is an abundant number, since it is smaller than the sum of its proper divisors (9907227328).

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

6904857920 is a wasteful number, since it uses less digits than its factorization.

6904857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 6904857920 is about 83095.4747263652. The cubic root of 6904857920 is about 1904.2249398816.

The spelling of 6904857920 in words is "six billion, nine hundred four million, eight hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 127 142 160 254 284 320 355 508 568 635 710 1016 1136 1270 1420 2032 2272 2393 2540 2840 4064 4544 4786 5080 5680 8128 9017 9572 10160 11360 11965 18034 19144 20320 22720 23930 36068 38288 40640 45085 47860 72136 76576 90170 95720 144272 153152 169903 180340 191440 288544 303911 339806 360680 382880 577088 607822 679612 721360 765760 849515 1215644 1359224 1442720 1519555 1699030 2431288 2718448 2885440 3039110 3398060 4862576 5436896 6078220 6796120 9725152 10873792 12156440 13592240 19450304 21577681 24312880 27184480 43155362 48625760 54368960 86310724 97251520 107888405 172621448 215776810 345242896 431553620 690485792 863107240 1380971584 1726214480 3452428960 6904857920