Search a number
-
+
29712980 = 22511135059
BaseRepresentation
bin111000101011…
…0001001010100
32001220120112202
41301112021110
530101303410
62540504032
7510361523
oct161261124
961816482
1029712980
1115854890
129b4b018
13620445b
143d364ba
15291dca5
hex1c56254

29712980 has 24 divisors (see below), whose sum is σ = 68070240. Its totient is φ = 10804640.

The previous prime is 29712899. The next prime is 29712983. The reversal of 29712980 is 8921792.

It is a super-2 number, since 2×297129802 = 1765722360960800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29712983) 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, 67310 + ... + 67749.

It is an arithmetic number, because the mean of its divisors is an integer number (2836260).

Almost surely, 229712980 is an apocalyptic number.

29712980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29712980 is an abundant number, since it is smaller than the sum of its proper divisors (38357260).

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

29712980 is a wasteful number, since it uses less digits than its factorization.

29712980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135079 (or 135077 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 29712980 is about 5450.9613830956. The cubic root of 29712980 is about 309.7291425306.

The spelling of 29712980 in words is "twenty-nine million, seven hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 135059 270118 540236 675295 1350590 1485649 2701180 2971298 5942596 7428245 14856490 29712980