Search a number
-
+
6900480 = 28325599
BaseRepresentation
bin11010010100101100000000
3110222120200100
4122110230000
53231303410
6403522400
7112440006
oct32245400
913876610
106900480
113993484
122389400
131577b32
14cb8a76
159148c0
hex694b00

6900480 has 108 divisors (see below), whose sum is σ = 23914800. Its totient is φ = 1837056.

The previous prime is 6900479. The next prime is 6900497. The reversal of 6900480 is 840096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11221 + ... + 11819.

Almost surely, 26900480 is an apocalyptic number.

6900480 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 6900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11957400).

6900480 is an abundant number, since it is smaller than the sum of its proper divisors (17014320).

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

6900480 is a wasteful number, since it uses less digits than its factorization.

6900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6900480 is about 2626.8764721623. The cubic root of 6900480 is about 190.3822406523.

The spelling of 6900480 in words is "six million, nine hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 599 640 720 768 960 1152 1198 1280 1440 1797 1920 2304 2396 2880 2995 3594 3840 4792 5391 5760 5990 7188 8985 9584 10782 11520 11980 14376 17970 19168 21564 23960 26955 28752 35940 38336 43128 47920 53910 57504 71880 76672 86256 95840 107820 115008 143760 153344 172512 191680 215640 230016 287520 345024 383360 431280 460032 575040 690048 766720 862560 1150080 1380096 1725120 2300160 3450240 6900480