Search a number
-
+
8140132 = 227111319107
BaseRepresentation
bin11111000011010101100100
3120022120011101
4133003111210
54040441012
6450245444
7126122110
oct37032544
916276141
108140132
11465a890
122886884
1318c0160
14111c740
15aabd57
hex7c3564

8140132 has 96 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 2747520.

The previous prime is 8140123. The next prime is 8140133. The reversal of 8140132 is 2310418.

8140132 = T168 + T169 + ... + T376.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (8140133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76023 + ... + 76129.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 28140132 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 8140132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

8140132 is an abundant number, since it is smaller than the sum of its proper divisors (12181148).

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

8140132 is a wasteful number, since it uses less digits than its factorization.

8140132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8140132 is about 2853.0916564317. The cubic root of 8140132 is about 201.1610138592.

The spelling of 8140132 in words is "eight million, one hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 107 133 143 154 182 209 214 247 266 286 308 364 418 428 494 532 572 749 836 988 1001 1177 1391 1463 1498 1729 2002 2033 2354 2717 2782 2926 2996 3458 4004 4066 4708 5434 5564 5852 6916 8132 8239 9737 10868 14231 15301 16478 19019 19474 22363 26429 28462 30602 32956 38038 38948 44726 52858 56924 61204 76076 89452 105716 107107 156541 185003 214214 290719 313082 370006 428428 581438 626164 740012 1162876 2035033 4070066 8140132