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2148936 = 2331723229
BaseRepresentation
bin1000001100101001001000
311001011210020
420030221020
51022231221
6114020440
724160056
oct10145110
94034706
102148936
111238589
12877720
135a317a
143dd1d6
152c6ac6
hex20ca48

2148936 has 64 divisors (see below), whose sum is σ = 5961600. Its totient is φ = 642048.

The previous prime is 2148907. The next prime is 2148947. The reversal of 2148936 is 6398412.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2148897 and 2148906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9270 + ... + 9498.

It is an arithmetic number, because the mean of its divisors is an integer number (93150).

22148936 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 2148936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980800).

2148936 is an abundant number, since it is smaller than the sum of its proper divisors (3812664).

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

2148936 is a wasteful number, since it uses less digits than its factorization.

2148936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 2148936 is about 1465.9249639733. The cubic root of 2148936 is about 129.0449936193.

The spelling of 2148936 in words is "two million, one hundred forty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 229 276 391 408 458 552 687 782 916 1173 1374 1564 1832 2346 2748 3128 3893 4692 5267 5496 7786 9384 10534 11679 15572 15801 21068 23358 31144 31602 42136 46716 63204 89539 93432 126408 179078 268617 358156 537234 716312 1074468 2148936