Search a number
-
+
29914060 = 22511227599
BaseRepresentation
bin111001000011…
…1001111001100
32002021210101011
41302013033030
530124222220
62545055004
7512160001
oct162071714
962253334
1029914060
1115981970
12a027464
136274b37
143d898a8
15295d65a
hex1c873cc

29914060 has 48 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 10811840.

The previous prime is 29914021. The next prime is 29914063. The reversal of 29914060 is 6041992.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29914063) 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 15 ways as a sum of consecutive naturals, for example, 49641 + ... + 50239.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 229914060 is an apocalyptic number.

29914060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29914060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

29914060 is an abundant number, since it is smaller than the sum of its proper divisors (39033140).

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

29914060 is a wasteful number, since it uses less digits than its factorization.

29914060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 29914060 is about 5469.3747357445. The cubic root of 29914060 is about 310.4262606427.

The spelling of 29914060 in words is "twenty-nine million, nine hundred fourteen thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 227 454 599 908 1135 1198 2270 2396 2497 2995 4540 4994 5990 6589 9988 11980 12485 13178 24970 26356 32945 49940 65890 131780 135973 271946 543892 679865 1359730 1495703 2719460 2991406 5982812 7478515 14957030 29914060