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6890240 = 2857769
BaseRepresentation
bin11010010010001100000000
3110222001122002
4122102030000
53230441430
6403403132
7112365110
oct32221400
913861562
106890240
113986815
1223834a8
131573286
14cb5040
15911845
hex692300

6890240 has 72 divisors (see below), whose sum is σ = 18886560. Its totient is φ = 2359296.

The previous prime is 6890239. The next prime is 6890243. The reversal of 6890240 is 420986.

It is not an unprimeable number, because it can be changed into a prime (6890243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8576 + ... + 9344.

Almost surely, 26890240 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 6890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443280).

6890240 is an abundant number, since it is smaller than the sum of its proper divisors (11996320).

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

6890240 is an equidigital number, since it uses as much as digits as its factorization.

6890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 6890240 is about 2624.9266656423. The cubic root of 6890240 is about 190.2880211549.

The spelling of 6890240 in words is "six million, eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 769 896 1120 1280 1538 1792 2240 3076 3845 4480 5383 6152 7690 8960 10766 12304 15380 21532 24608 26915 30760 43064 49216 53830 61520 86128 98432 107660 123040 172256 196864 215320 246080 344512 430640 492160 689024 861280 984320 1378048 1722560 3445120 6890240