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2085440 = 2657319
BaseRepresentation
bin111111101001001000000
310220221200112
413331021000
51013213230
6112410452
723504000
oct7751100
93827615
102085440
1111a4905
12846a28
135802b6
143c4000
152b2d95
hex1fd240

2085440 has 112 divisors (see below), whose sum is σ = 6096000. Its totient is φ = 677376.

The previous prime is 2085409. The next prime is 2085469. The reversal of 2085440 is 445802.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109751 + ... + 109769.

22085440 is an apocalyptic number.

2085440 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 2085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048000).

2085440 is an abundant number, since it is smaller than the sum of its proper divisors (4010560).

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

2085440 is an equidigital number, since it uses as much as digits as its factorization.

2085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2085440 is about 1444.1052593215. The cubic root of 2085440 is about 127.7612737908.

The spelling of 2085440 in words is "two million, eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 64 70 76 80 95 98 112 133 140 152 160 190 196 224 245 266 280 304 320 343 380 392 448 490 532 560 608 665 686 760 784 931 980 1064 1120 1216 1330 1372 1520 1568 1715 1862 1960 2128 2240 2660 2744 3040 3136 3430 3724 3920 4256 4655 5320 5488 6080 6517 6860 7448 7840 8512 9310 10640 10976 13034 13720 14896 15680 18620 21280 21952 26068 27440 29792 32585 37240 42560 52136 54880 59584 65170 74480 104272 109760 130340 148960 208544 260680 297920 417088 521360 1042720 2085440