Search a number
-
+
11496992 = 251329953
BaseRepresentation
bin101011110110…
…111000100000
3210122002220112
4223312320200
510420400432
61050230452
7166502633
oct53667040
923562815
1011496992
116542951
123a25428
1324c7070
141753c1a
1510217b2
hexaf6e20

11496992 has 48 divisors (see below), whose sum is σ = 25242840. Its totient is φ = 5117952.

The previous prime is 11496983. The next prime is 11496997. The reversal of 11496992 is 29969411.

It is a happy number.

11496992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7639696 + 3857296 = 2764^2 + 1964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11496997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11588 + ... + 12540.

Almost surely, 211496992 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 11496992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621420).

11496992 is an abundant number, since it is smaller than the sum of its proper divisors (13745848).

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

11496992 is a wasteful number, since it uses less digits than its factorization.

11496992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 997 counting only the distinct ones).

The product of its digits is 34992, while the sum is 41.

The square root of 11496992 is about 3390.7214571533. The cubic root of 11496992 is about 225.6981900762.

The spelling of 11496992 in words is "eleven million, four hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 953 1508 1906 3016 3812 6032 7624 12064 12389 15248 24778 27637 30496 49556 55274 99112 110548 198224 221096 359281 396448 442192 718562 884384 1437124 2874248 5748496 11496992