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8272134 = 23213232953
BaseRepresentation
bin11111100011100100000110
3120120021020100
4133203210012
54104202014
6453144530
7130212003
oct37434406
916507210
108272134
11473aa82
12292b146
131938270
1411548aa
15ad6009
hex7e3906

8272134 has 96 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 2306304.

The previous prime is 8272129. The next prime is 8272153. The reversal of 8272134 is 4312728.

8272134 = T532 + T533 + ... + T584.

8272134 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 8272098 and 8272107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156052 + ... + 156104.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 28272134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8272134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

8272134 is an abundant number, since it is smaller than the sum of its proper divisors (12956346).

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

8272134 is a wasteful number, since it uses less digits than its factorization.

8272134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 8272134 is about 2876.1317772314. The cubic root of 8272134 is about 202.2425443267.

The spelling of 8272134 in words is "eight million, two hundred seventy-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 23 26 29 39 46 53 58 69 78 87 106 117 138 159 174 207 234 261 299 318 377 414 477 522 598 667 689 754 897 954 1131 1219 1334 1378 1537 1794 2001 2067 2262 2438 2691 3074 3393 3657 4002 4134 4611 5382 6003 6201 6786 7314 8671 9222 10971 12006 12402 13833 15847 17342 19981 21942 26013 27666 31694 35351 39962 47541 52026 59943 70702 78039 95082 106053 119886 142623 156078 179829 212106 285246 318159 359658 459563 636318 919126 1378689 2757378 4136067 8272134