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29681420 = 2251924111
BaseRepresentation
bin111000100111…
…0011100001100
32001211222020212
41301032130030
530044301140
62540101552
7510200516
oct161163414
961758225
1029681420
11158330aa
129b348b8
1361c2c92
143d28bb6
152914765
hex1c4e70c

29681420 has 36 divisors (see below), whose sum is σ = 65800224. Its totient is φ = 11244960.

The previous prime is 29681419. The next prime is 29681453. The reversal of 29681420 is 2418692.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5165 + ... + 9275.

It is an arithmetic number, because the mean of its divisors is an integer number (1827784).

Almost surely, 229681420 is an apocalyptic number.

29681420 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 29681420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32900112).

29681420 is an abundant number, since it is smaller than the sum of its proper divisors (36118804).

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

29681420 is a wasteful number, since it uses less digits than its factorization.

29681420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 29681420 is about 5448.0657117917. The cubic root of 29681420 is about 309.6194428339.

The spelling of 29681420 in words is "twenty-nine million, six hundred eighty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 4111 7220 8222 16444 20555 41110 78109 82220 156218 312436 390545 781090 1484071 1562180 2968142 5936284 7420355 14840710 29681420