Search a number
-
+
7163136 = 28323109
BaseRepresentation
bin11011010100110100000000
3111110220222100
4123110310000
53313210021
6413310400
7114612531
oct33246400
914426870
107163136
114052852
122495400
13163a556
14d46688
15967626
hex6d4d00

7163136 has 54 divisors (see below), whose sum is σ = 20659730. Its totient is φ = 2386944.

The previous prime is 7163113. The next prime is 7163147. The reversal of 7163136 is 6313617.

It can be written as a sum of positive squares in only one way, i.e., 5089536 + 2073600 = 2256^2 + 1440^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 750 + ... + 3858.

Almost surely, 27163136 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 7163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329865).

7163136 is an abundant number, since it is smaller than the sum of its proper divisors (13496594).

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

7163136 is a wasteful number, since it uses less digits than its factorization.

7163136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3114 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 7163136 is about 2676.4035570145. The cubic root of 7163136 is about 192.7677591675.

The spelling of 7163136 in words is "seven million, one hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3109 6218 9327 12436 18654 24872 27981 37308 49744 55962 74616 99488 111924 149232 198976 223848 298464 397952 447696 596928 795904 895392 1193856 1790784 2387712 3581568 7163136