Search a number
-
+
29741076 = 22327311317
BaseRepresentation
bin111000101110…
…1000000010100
32001222000002100
41301131000110
530103203301
62541242100
7510536451
oct161350024
961860070
1029741076
1115873a02
129b63330
136214191
143d42828
152927286
hex1c5d014

29741076 has 36 divisors (see below), whose sum is σ = 76215412. Its totient is φ = 9777024.

The previous prime is 29741069. The next prime is 29741077. The reversal of 29741076 is 67014792.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24265476 + 5475600 = 4926^2 + 2340^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 29741076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29741077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3031 + ... + 8286.

Almost surely, 229741076 is an apocalyptic number.

It is an amenable number.

29741076 is an abundant number, since it is smaller than the sum of its proper divisors (46474336).

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

29741076 is a wasteful number, since it uses less digits than its factorization.

29741076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11400 (or 11395 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 29741076 is about 5453.5379342222. The cubic root of 29741076 is about 309.8267363383.

The spelling of 29741076 in words is "twenty-nine million, seven hundred forty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 11317 22634 33951 45268 67902 101853 135804 203706 407412 826141 1652282 2478423 3304564 4956846 7435269 9913692 14870538 29741076