Search a number
-
+
11899728 = 2432174861
BaseRepresentation
bin101101011001…
…001101010000
3211101120100200
4231121031100
511021242403
61103015200
7203101041
oct55311520
924346320
1011899728
116798495
123b9a500
132608479
14181a8c8
1510a0ca3
hexb59350

11899728 has 60 divisors (see below), whose sum is σ = 35268948. Its totient is φ = 3732480.

The previous prime is 11899721. The next prime is 11899729. The reversal of 11899728 is 82799811.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 1710864 = 3192^2 + 1308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11899721) 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, 18 + ... + 4878.

Almost surely, 211899728 is an apocalyptic number.

11899728 is a gapful number since it is divisible by the number (18) 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 11899728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17634474).

11899728 is an abundant number, since it is smaller than the sum of its proper divisors (23369220).

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

11899728 is a wasteful number, since it uses less digits than its factorization.

11899728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4883 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 11899728 is about 3449.5982374764. The cubic root of 11899728 is about 228.3033819144.

It can be divided in two parts, 118997 and 28, that added together give a square (119025 = 3452).

The spelling of 11899728 in words is "eleven million, eight hundred ninety-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4861 9722 14583 19444 29166 38888 43749 58332 77776 82637 87498 116664 165274 174996 233328 247911 330548 349992 495822 661096 699984 743733 991644 1322192 1487466 1983288 2974932 3966576 5949864 11899728