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29720000 = 2654743
BaseRepresentation
bin111000101011…
…1110111000000
32001220221011202
41301113313000
530102020000
62541000332
7510421142
oct161276700
961827152
1029720000
111585a092
129b530a8
1362076cb
143d38c92
152920dd5
hex1c57dc0

29720000 has 70 divisors (see below), whose sum is σ = 73795128. Its totient is φ = 11872000.

The previous prime is 29719997. The next prime is 29720003. The reversal of 29720000 is 2792.

It is an interprime number because it is at equal distance from previous prime (29719997) and next prime (29720003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29720003) 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 9 ways as a sum of consecutive naturals, for example, 39629 + ... + 40371.

Almost surely, 229720000 is an apocalyptic number.

29720000 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 29720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36897564).

29720000 is an abundant number, since it is smaller than the sum of its proper divisors (44075128).

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

29720000 is an frugal number, since it uses more digits than its factorization.

29720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 29720000 is about 5451.6052681756. The cubic root of 29720000 is about 309.7535328517.

Adding to 29720000 its reverse (2792), we get a palindrome (29722792).

The spelling of 29720000 in words is "twenty-nine million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 743 800 1000 1250 1486 1600 2000 2500 2972 3715 4000 5000 5944 7430 8000 10000 11888 14860 18575 20000 23776 29720 37150 40000 47552 59440 74300 92875 118880 148600 185750 237760 297200 371500 464375 594400 743000 928750 1188800 1486000 1857500 2972000 3715000 5944000 7430000 14860000 29720000