[go: up one dir, main page]

Search a number
-
+
7135104 = 273171093
BaseRepresentation
bin11011001101111110000000
3111102111112010
4123031332000
53311310404
6412532520
7114435024
oct33157600
914374463
107135104
114033789
122481140
13162a872
14d3a384
1595e189
hex6cdf80

7135104 has 64 divisors (see below), whose sum is σ = 20085840. Its totient is φ = 2236416.

The previous prime is 7135103. The next prime is 7135123. The reversal of 7135104 is 4015317.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7135103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5982 + ... + 7074.

Almost surely, 27135104 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 7135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10042920).

7135104 is an abundant number, since it is smaller than the sum of its proper divisors (12950736).

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

7135104 is a wasteful number, since it uses less digits than its factorization.

7135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 7135104 is about 2671.1615450961. The cubic root of 7135104 is about 192.5159732627.

The spelling of 7135104 in words is "seven million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1093 1632 2176 2186 3264 3279 4372 6528 6558 8744 13116 17488 18581 26232 34976 37162 52464 55743 69952 74324 104928 111486 139904 148648 209856 222972 297296 419712 445944 594592 891888 1189184 1783776 2378368 3567552 7135104