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2155008 = 2932361
BaseRepresentation
bin1000001110001000000000
311001111010010
420032020000
51022430013
6114104520
724213552
oct10161000
94044103
102155008
1112420a9
1287b140
135a5b6b
144014d2
152c87c3
hex20e200

2155008 has 80 divisors (see below), whose sum is σ = 6088896. Its totient is φ = 675840.

The previous prime is 2155007. The next prime is 2155009. The reversal of 2155008 is 8005512.

It is an interprime number because it is at equal distance from previous prime (2155007) and next prime (2155009).

It is not an unprimeable number, because it can be changed into a prime (2155003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35298 + ... + 35358.

22155008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044448).

2155008 is an abundant number, since it is smaller than the sum of its proper divisors (3933888).

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

2155008 is an equidigital number, since it uses as much as digits as its factorization.

2155008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2155008 is about 1467.9945503986. The cubic root of 2155008 is about 129.1664218286.

The spelling of 2155008 in words is "two million, one hundred fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 64 69 92 96 122 128 138 183 184 192 244 256 276 366 368 384 488 512 552 732 736 768 976 1104 1403 1464 1472 1536 1952 2208 2806 2928 2944 3904 4209 4416 5612 5856 5888 7808 8418 8832 11224 11712 11776 15616 16836 17664 22448 23424 31232 33672 35328 44896 46848 67344 89792 93696 134688 179584 269376 359168 538752 718336 1077504 2155008