Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
11425600 = 265237193
BaseRepresentation
bin101011100101…
…011101000000
3210111110222101
4223211131000
510411104400
61044520144
7166054534
oct53453500
923443871
1011425600
1164a424a
1239b0054
1324a0714
141735bc4
15100a56a
hexae5740

11425600 has 84 divisors (see below), whose sum is σ = 29023564. Its totient is φ = 4423680.

The previous prime is 11425597. The next prime is 11425607. The reversal of 11425600 is 652411.

It can be written as a sum of positive squares in 6 ways, for example, as 28224 + 11397376 = 168^2 + 3376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11425607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59104 + ... + 59296.

Almost surely, 211425600 is an apocalyptic number.

11425600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14511782).

11425600 is an abundant number, since it is smaller than the sum of its proper divisors (17597964).

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

11425600 is a wasteful number, since it uses less digits than its factorization.

11425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 11425600 is about 3380.1775101317. The cubic root of 11425600 is about 225.2300527667.

The spelling of 11425600 in words is "eleven million, four hundred twenty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 148 160 185 193 200 296 320 370 386 400 592 740 772 800 925 965 1184 1480 1544 1600 1850 1930 2368 2960 3088 3700 3860 4825 5920 6176 7141 7400 7720 9650 11840 12352 14282 14800 15440 19300 28564 29600 30880 35705 38600 57128 59200 61760 71410 77200 114256 142820 154400 178525 228512 285640 308800 357050 457024 571280 714100 1142560 1428200 2285120 2856400 5712800 11425600