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29420820 = 223451113127
BaseRepresentation
bin111000000111…
…0110100010100
32001100201210000
41300032310110
530012431240
62530331300
7505033662
oct160166424
961321700
1029420820
1115675330
129a29b30
136131490
143c9bc32
1528b2430
hex1c0ed14

29420820 has 240 divisors, whose sum is σ = 109283328. Its totient is φ = 6531840.

The previous prime is 29420813. The next prime is 29420843. The reversal of 29420820 is 2802492.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 231597 + ... + 231723.

Almost surely, 229420820 is an apocalyptic number.

29420820 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 29420820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54641664).

29420820 is an abundant number, since it is smaller than the sum of its proper divisors (79862508).

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

29420820 is a wasteful number, since it uses less digits than its factorization.

29420820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 29420820 is about 5424.0962380843. The cubic root of 29420820 is about 308.7106349415.

The spelling of 29420820 in words is "twenty-nine million, four hundred twenty thousand, eight hundred twenty".