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6080880 = 2435131949
BaseRepresentation
bin10111001100100101110000
3102102221101210
4113030211300
53024042010
6334200120
7102454341
oct27144560
912387353
106080880
113483723
122053040
13134ba70
14b440c8
15801b20
hex5cc970

6080880 has 80 divisors (see below), whose sum is σ = 20311200. Its totient is φ = 1496064.

The previous prime is 6080873. The next prime is 6080881. The reversal of 6080880 is 880806.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6080881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146 + ... + 4094.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 26080880 is an apocalyptic number.

6080880 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 6080880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

6080880 is an abundant number, since it is smaller than the sum of its proper divisors (14230320).

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

6080880 is a wasteful number, since it uses less digits than its factorization.

6080880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 6080880 is about 2465.9440382945. The cubic root of 6080880 is about 182.5249105923.

The spelling of 6080880 in words is "six million, eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 1949 3120 3898 5847 7796 9745 11694 15592 19490 23388 25337 29235 31184 38980 46776 50674 58470 76011 77960 93552 101348 116940 126685 152022 155920 202696 233880 253370 304044 380055 405392 467760 506740 608088 760110 1013480 1216176 1520220 2026960 3040440 6080880