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2085480 = 233351931
BaseRepresentation
bin111111101001001101000
310220221202000
413331021220
51013213410
6112411000
723504055
oct7751150
93827660
102085480
1111a4941
12846a60
13580317
143c402c
152b2dc0
hex1fd268

2085480 has 64 divisors (see below), whose sum is σ = 6955200. Its totient is φ = 555840.

The previous prime is 2085469. The next prime is 2085481. The reversal of 2085480 is 845802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085481) 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, 115 + ... + 2045.

It is an arithmetic number, because the mean of its divisors is an integer number (108675).

22085480 is an apocalyptic number.

2085480 is a gapful number since it is divisible by the number (20) 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 2085480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477600).

2085480 is an abundant number, since it is smaller than the sum of its proper divisors (4869720).

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

2085480 is a wasteful number, since it uses less digits than its factorization.

2085480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2085480 is about 1444.1191086611. The cubic root of 2085480 is about 127.7620906318.

The spelling of 2085480 in words is "two million, eighty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1931 3862 5793 7724 9655 11586 15448 17379 19310 23172 28965 34758 38620 46344 52137 57930 69516 77240 86895 104274 115860 139032 173790 208548 231720 260685 347580 417096 521370 695160 1042740 2085480