Search a number
-
+
5511072 = 253759139
BaseRepresentation
bin10101000001011110100000
3101100222202210
4111001132200
52402323242
6314042120
764562160
oct25013640
911328683
105511072
113124606
121a19340
1311ac5b8
14a365a0
1573cd9c
hex5417a0

5511072 has 96 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1536768.

The previous prime is 5511071. The next prime is 5511133. The reversal of 5511072 is 2701155.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (5511071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39579 + ... + 39717.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 25511072 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 5511072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

5511072 is an abundant number, since it is smaller than the sum of its proper divisors (11423328).

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

5511072 is a wasteful number, since it uses less digits than its factorization.

5511072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 5511072 is about 2347.5672514329. The cubic root of 5511072 is about 176.6357859082.

The spelling of 5511072 in words is "five million, five hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 139 168 177 224 236 278 336 354 413 417 472 556 672 708 826 834 944 973 1112 1239 1416 1652 1668 1888 1946 2224 2478 2832 2919 3304 3336 3892 4448 4956 5664 5838 6608 6672 7784 8201 9912 11676 13216 13344 15568 16402 19824 23352 24603 31136 32804 39648 46704 49206 57407 65608 93408 98412 114814 131216 172221 196824 229628 262432 344442 393648 459256 688884 787296 918512 1377768 1837024 2755536 5511072