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6890160 = 2435191511
BaseRepresentation
bin11010010010001010110000
3110222001112010
4122102022300
53230441120
6403402520
7112364634
oct32221260
913861463
106890160
113986752
122383440
131573224
14cb4dc4
159117e0
hex6922b0

6890160 has 80 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 1739520.

The previous prime is 6890123. The next prime is 6890161. The reversal of 6890160 is 610986.

6890160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (6890161) 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, 3805 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 26890160 is an apocalyptic number.

6890160 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 6890160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

6890160 is an abundant number, since it is smaller than the sum of its proper divisors (15608400).

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

6890160 is a wasteful number, since it uses less digits than its factorization.

6890160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 6890160 is about 2624.9114270771. The cubic root of 6890160 is about 190.2872846977.

The spelling of 6890160 in words is "six million, eight hundred ninety thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1511 1520 2280 3022 4533 4560 6044 7555 9066 12088 15110 18132 22665 24176 28709 30220 36264 45330 57418 60440 72528 86127 90660 114836 120880 143545 172254 181320 229672 287090 344508 362640 430635 459344 574180 689016 861270 1148360 1378032 1722540 2296720 3445080 6890160