Search a number
-
+
11996424 = 233611217
BaseRepresentation
bin101101110000…
…110100001000
3211120111000000
4231300310020
511032341144
61105043000
7203652666
oct55606410
924514000
1011996424
116854100
124026460
13264049b
141843c36
1510be769
hexb70d08

11996424 has 168 divisors, whose sum is σ = 39249630. Its totient is φ = 3421440.

The previous prime is 11996393. The next prime is 11996447. The reversal of 11996424 is 42469911.

It is a happy number.

11996424 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 642 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8820900 + 3175524 = 2970^2 + 1782^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 705664 + ... + 705680.

Almost surely, 211996424 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 11996424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624815).

11996424 is an abundant number, since it is smaller than the sum of its proper divisors (27253206).

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

11996424 is a wasteful number, since it uses less digits than its factorization.

11996424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 33 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11996424 is about 3463.5854255381. The cubic root of 11996424 is about 228.9201045950.

The spelling of 11996424 in words is "eleven million, nine hundred ninety-six thousand, four hundred twenty-four".