Search a number
-
+
29506136 = 2311595683
BaseRepresentation
bin111000010001…
…1101001011000
32001112001210212
41300203221120
530023144021
62532230252
7505540502
oct160435130
961461725
1029506136
1115723440
129a6b388
13616126a
143cc0d72
1528cc85b
hex1c23a58

29506136 has 32 divisors (see below), whose sum is σ = 61387200. Its totient is φ = 13182240.

The previous prime is 29506133. The next prime is 29506153. The reversal of 29506136 is 63160592.

It is a happy number.

It is a super-2 number, since 2×295061362 = 1741224123300992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29506133) 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 7 ways as a sum of consecutive naturals, for example, 2351 + ... + 8033.

It is an arithmetic number, because the mean of its divisors is an integer number (1918350).

Almost surely, 229506136 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 29506136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30693600).

29506136 is an abundant number, since it is smaller than the sum of its proper divisors (31881064).

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

29506136 is a wasteful number, since it uses less digits than its factorization.

29506136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5755 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 29506136 is about 5431.9550808157. The cubic root of 29506136 is about 309.0087519297.

The spelling of 29506136 in words is "twenty-nine million, five hundred six thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 2596 5192 5683 11366 22732 45464 62513 125026 250052 335297 500104 670594 1341188 2682376 3688267 7376534 14753068 29506136