Search a number
-
+
2021152 = 25721289
BaseRepresentation
bin111101101011100100000
310210200111111
413231130200
51004134102
6111153104
723115400
oct7553440
93720444
102021152
111160581
12815794
13559c63
143a8800
1529dcd7
hex1ed720

2021152 has 36 divisors (see below), whose sum is σ = 4632390. Its totient is φ = 865536.

The previous prime is 2021143. The next prime is 2021167. The reversal of 2021152 is 2511202.

It can be written as a sum of positive squares in only one way, i.e., 1449616 + 571536 = 1204^2 + 756^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 924 + ... + 2212.

22021152 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 2021152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316195).

2021152 is an abundant number, since it is smaller than the sum of its proper divisors (2611238).

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

2021152 is a wasteful number, since it uses less digits than its factorization.

2021152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 2021152 is about 1421.6722547760. The cubic root of 2021152 is about 126.4347124659.

Adding to 2021152 its reverse (2511202), we get a palindrome (4532354).

The spelling of 2021152 in words is "two million, twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1289 1568 2578 5156 9023 10312 18046 20624 36092 41248 63161 72184 126322 144368 252644 288736 505288 1010576 2021152