Search a number
-
+
2532096 = 28327157
BaseRepresentation
bin1001101010001100000000
311202122101100
421222030000
51122011341
6130134400
730344130
oct11521400
94678340
102532096
11147a446
12a21400
136a86a8
1449cac0
153503b6
hex26a300

2532096 has 108 divisors (see below), whose sum is σ = 8396752. Its totient is φ = 718848.

The previous prime is 2532083. The next prime is 2532107. The reversal of 2532096 is 6902352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16050 + ... + 16206.

22532096 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 2532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198376).

2532096 is an abundant number, since it is smaller than the sum of its proper divisors (5864656).

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

2532096 is a wasteful number, since it uses less digits than its factorization.

2532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2532096 is about 1591.2561076081. The cubic root of 2532096 is about 136.2992258233.

The spelling of 2532096 in words is "two million, five hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 157 168 192 224 252 256 288 314 336 384 448 471 504 576 628 672 768 896 942 1008 1099 1152 1256 1344 1413 1792 1884 2016 2198 2304 2512 2688 2826 3297 3768 4032 4396 5024 5376 5652 6594 7536 8064 8792 9891 10048 11304 13188 15072 16128 17584 19782 20096 22608 26376 30144 35168 39564 40192 45216 52752 60288 70336 79128 90432 105504 120576 140672 158256 180864 211008 281344 316512 361728 422016 633024 844032 1266048 2532096