Search a number
-
+
6854980392 = 23321352114057
BaseRepresentation
bin1100110001001011…
…01011001100101000
3122200201212002021200
412120211223030220
5103014333333032
63052114004200
7331605241401
oct63045531450
918621762250
106854980392
1129a8504257
1213b3876660
1385325bc20
144905aa9a8
152a1c2047c
hex19896b328

6854980392 has 96 divisors (see below), whose sum is σ = 20033493480. Its totient is φ = 2105026560.

The previous prime is 6854980381. The next prime is 6854980399. The reversal of 6854980392 is 2930894586.

6854980392 is a `hidden beast` number, since 6 + 8 + 549 + 8 + 0 + 3 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1993265316 + 4861715076 = 44646^2 + 69726^2 .

It is not an unprimeable number, because it can be changed into a prime (6854980399) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480628 + ... + 494684.

Almost surely, 26854980392 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 6854980392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016746740).

6854980392 is an abundant number, since it is smaller than the sum of its proper divisors (13178513088).

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

6854980392 is a wasteful number, since it uses less digits than its factorization.

6854980392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14603 (or 14596 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 6854980392 is about 82794.8089677125. The cubic root of 6854980392 is about 1899.6287725333.

The spelling of 6854980392 in words is "six billion, eight hundred fifty-four million, nine hundred eighty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 521 936 1042 1563 2084 3126 4168 4689 6252 6773 9378 12504 13546 14057 18756 20319 27092 28114 37512 40638 42171 54184 56228 60957 81276 84342 112456 121914 126513 162552 168684 182741 243828 253026 337368 365482 487656 506052 548223 730964 1012104 1096446 1461928 1644669 2192892 3289338 4385784 6578676 7323697 13157352 14647394 21971091 29294788 43942182 58589576 65913273 87884364 95208061 131826546 175768728 190416122 263653092 285624183 380832244 527306184 571248366 761664488 856872549 1142496732 1713745098 2284993464 3427490196 6854980392