Search a number
-
+
2148816 = 24389503
BaseRepresentation
bin1000001100100111010000
311001011121210
420030213100
51022230231
6114020120
724156525
oct10144720
94034553
102148816
11123848a
12877640
135a30b7
143dd14c
152c6a46
hex20c9d0

2148816 has 40 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 706816.

The previous prime is 2148803. The next prime is 2148857. The reversal of 2148816 is 6188412.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

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, 4021 + ... + 4523.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

22148816 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 2148816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2148816 is an abundant number, since it is smaller than the sum of its proper divisors (3475824).

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

2148816 is a wasteful number, since it uses less digits than its factorization.

2148816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 2148816 is about 1465.8840336125. The cubic root of 2148816 is about 129.0425915488.

The spelling of 2148816 in words is "two million, one hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 503 534 712 1006 1068 1424 1509 2012 2136 3018 4024 4272 6036 8048 12072 24144 44767 89534 134301 179068 268602 358136 537204 716272 1074408 2148816