Search a number
-
+
29131900 = 2252741617
BaseRepresentation
bin110111100100…
…0010001111100
32000211001110021
41233020101330
524424210100
62520221524
7502421440
oct157102174
960731407
1029131900
1115498256
12990a8a4
13605cb15
143c24820
152856a1a
hex1bc847c

29131900 has 36 divisors (see below), whose sum is σ = 72248848. Its totient is φ = 9987840.

The previous prime is 29131873. The next prime is 29131903. The reversal of 29131900 is 913192.

It is a super-2 number, since 2×291319002 = 1697335195220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29131903) 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, 20109 + ... + 21508.

Almost surely, 229131900 is an apocalyptic number.

29131900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29131900 is an abundant number, since it is smaller than the sum of its proper divisors (43116948).

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

29131900 is a wasteful number, since it uses less digits than its factorization.

29131900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41638 (or 41631 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 29131900 is about 5397.3975210281. The cubic root of 29131900 is about 307.6967696468.

The spelling of 29131900 in words is "twenty-nine million, one hundred thirty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 41617 83234 166468 208085 291319 416170 582638 832340 1040425 1165276 1456595 2080850 2913190 4161700 5826380 7282975 14565950 29131900