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2086380 = 2232567173
BaseRepresentation
bin111111101010111101100
310220222222100
413331113230
51013231010
6112415100
723506512
oct7752754
93828870
102086380
1111a558a
12847490
1358085a
143c44b2
152b32c0
hex1fd5ec

2086380 has 72 divisors (see below), whose sum is σ = 6460272. Its totient is φ = 544896.

The previous prime is 2086363. The next prime is 2086397. The reversal of 2086380 is 836802.

2086380 is a `hidden beast` number, since 20 + 8 + 638 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2086363) and next prime (2086397).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11974 + ... + 12146.

It is an arithmetic number, because the mean of its divisors is an integer number (89726).

22086380 is an apocalyptic number.

2086380 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 2086380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230136).

2086380 is an abundant number, since it is smaller than the sum of its proper divisors (4373892).

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

2086380 is a wasteful number, since it uses less digits than its factorization.

2086380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2086380 is about 1444.4306836951. The cubic root of 2086380 is about 127.7804667921.

The spelling of 2086380 in words is "two million, eighty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 173 180 201 268 335 346 402 519 603 670 692 804 865 1005 1038 1206 1340 1557 1730 2010 2076 2412 2595 3015 3114 3460 4020 5190 6030 6228 7785 10380 11591 12060 15570 23182 31140 34773 46364 57955 69546 104319 115910 139092 173865 208638 231820 347730 417276 521595 695460 1043190 2086380