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2135848 = 2311131867
BaseRepresentation
bin1000001001011100101000
311000111211111
420021130220
51021321343
6113440104
724103651
oct10113450
94014744
102135848
111229770
12870034
1359a220
143d8528
152c2c9d
hex209728

2135848 has 32 divisors (see below), whose sum is σ = 4707360. Its totient is φ = 895680.

The previous prime is 2135831. The next prime is 2135851. The reversal of 2135848 is 8485312.

It is a super-3 number, since 3×21358483 = 29230233317612760576, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 2077.

It is an arithmetic number, because the mean of its divisors is an integer number (147105).

22135848 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 2135848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353680).

2135848 is an abundant number, since it is smaller than the sum of its proper divisors (2571512).

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

2135848 is a wasteful number, since it uses less digits than its factorization.

2135848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1893 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 2135848 is about 1461.4540704381. The cubic root of 2135848 is about 128.7824790024.

The spelling of 2135848 in words is "two million, one hundred thirty-five thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 1867 3734 7468 14936 20537 24271 41074 48542 82148 97084 164296 194168 266981 533962 1067924 2135848