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6930480 = 243567431
BaseRepresentation
bin11010011100000000110000
3111001002211110
4122130000300
53233233410
6404313320
7112623324
oct32340060
914032743
106930480
113a03a77
1223a2840
13158869b
14cc5984
1591d720
hex69c030

6930480 has 80 divisors (see below), whose sum is σ = 21855744. Its totient is φ = 1816320.

The previous prime is 6930463. The next prime is 6930481. The reversal of 6930480 is 840396.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6930481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15865 + ... + 16295.

Almost surely, 26930480 is an apocalyptic number.

6930480 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 6930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10927872).

6930480 is an abundant number, since it is smaller than the sum of its proper divisors (14925264).

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

6930480 is a wasteful number, since it uses less digits than its factorization.

6930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6930480 is about 2632.5804831002. The cubic root of 6930480 is about 190.6577388901.

Subtracting from 6930480 its product of nonzero digits (5184), we obtain a palindrome (6925296).

The spelling of 6930480 in words is "six million, nine hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 431 536 670 804 862 1005 1072 1293 1340 1608 1724 2010 2155 2586 2680 3216 3448 4020 4310 5172 5360 6465 6896 8040 8620 10344 12930 16080 17240 20688 25860 28877 34480 51720 57754 86631 103440 115508 144385 173262 231016 288770 346524 433155 462032 577540 693048 866310 1155080 1386096 1732620 2310160 3465240 6930480