Search a number
-
+
2072148 = 2231337359
BaseRepresentation
bin111111001111001010100
310220021110020
413321321110
51012302043
6112225140
723420151
oct7717124
93807406
102072148
111195921
1283b1b0
13577230
143bd228
152ade83
hex1f9e54

2072148 has 48 divisors (see below), whose sum is σ = 5362560. Its totient is φ = 618624.

The previous prime is 2072131. The next prime is 2072153. The reversal of 2072148 is 8412702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5593 + ... + 5951.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

22072148 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 2072148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280).

2072148 is an abundant number, since it is smaller than the sum of its proper divisors (3290412).

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

2072148 is a wasteful number, since it uses less digits than its factorization.

2072148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2072148 is about 1439.4957450441. The cubic root of 2072148 is about 127.4892570725.

The spelling of 2072148 in words is "two million, seventy-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 359 444 481 718 962 1077 1436 1443 1924 2154 2886 4308 4667 5772 9334 13283 14001 18668 26566 28002 39849 53132 56004 79698 159396 172679 345358 518037 690716 1036074 2072148