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29188120 = 2351356131
BaseRepresentation
bin110111101011…
…0000000011000
32000220220120111
41233112000120
524433004440
62521334104
7503044363
oct157260030
960826514
1029188120
1115526515
129937334
13607c5a0
143c3b0da
1528684ea
hex1bd6018

29188120 has 32 divisors (see below), whose sum is σ = 70726320. Its totient is φ = 10776960.

The previous prime is 29188109. The next prime is 29188139. The reversal of 29188120 is 2188192.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 27546 + ... + 28585.

Almost surely, 229188120 is an apocalyptic number.

29188120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29188120 is an abundant number, since it is smaller than the sum of its proper divisors (41538200).

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

29188120 is a wasteful number, since it uses less digits than its factorization.

29188120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56155 (or 56151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 29188120 is about 5402.6030762957. The cubic root of 29188120 is about 307.8945779643.

The spelling of 29188120 in words is "twenty-nine million, one hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 56131 112262 224524 280655 449048 561310 729703 1122620 1459406 2245240 2918812 3648515 5837624 7297030 14594060 29188120