Search a number
-
+
11629044 = 2232746147
BaseRepresentation
bin101100010111…
…000111110100
3210212211001100
4230113013310
510434112134
61053130100
7200562630
oct54270764
923784040
1011629044
116623089
123a89930
1325421bb
141789dc0
15104a999
hexb171f4

11629044 has 36 divisors (see below), whose sum is σ = 33595744. Its totient is φ = 3322512.

The previous prime is 11629043. The next prime is 11629067. The reversal of 11629044 is 44092611.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 11628999 and 11629017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11629043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22822 + ... + 23325.

Almost surely, 211629044 is an apocalyptic number.

11629044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11629044 is an abundant number, since it is smaller than the sum of its proper divisors (21966700).

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

11629044 is a wasteful number, since it uses less digits than its factorization.

11629044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46164 (or 46159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11629044 is about 3410.1384136131. The cubic root of 11629044 is about 226.5590098139.

The spelling of 11629044 in words is "eleven million, six hundred twenty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 46147 92294 138441 184588 276882 323029 415323 553764 646058 830646 969087 1292116 1661292 1938174 2907261 3876348 5814522 11629044