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23070000 = 24354769
BaseRepresentation
bin101100000000…
…0010100110000
31121102002002110
41120000110300
521401220000
62142245320
7400043322
oct130002460
947362073
1023070000
1112027918
127886840
134a198b5
1430c7612
15205a850
hex1600530

23070000 has 100 divisors (see below), whose sum is σ = 74569880. Its totient is φ = 6144000.

The previous prime is 23069939. The next prime is 23070001. The reversal of 23070000 is 7032.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (23070001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29616 + ... + 30384.

Almost surely, 223070000 is an apocalyptic number.

23070000 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 23070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37284940).

23070000 is an abundant number, since it is smaller than the sum of its proper divisors (51499880).

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

23070000 is an equidigital number, since it uses as much as digits as its factorization.

23070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 23070000 is about 4803.1239834091. The cubic root of 23070000 is about 284.6749140338.

Adding to 23070000 its reverse (7032), we get a palindrome (23077032).

The spelling of 23070000 in words is "twenty-three million, seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 769 1000 1200 1250 1500 1538 1875 2000 2307 2500 3000 3076 3750 3845 4614 5000 6000 6152 7500 7690 9228 10000 11535 12304 15000 15380 18456 19225 23070 30000 30760 36912 38450 46140 57675 61520 76900 92280 96125 115350 153800 184560 192250 230700 288375 307600 384500 461400 480625 576750 769000 922800 961250 1153500 1441875 1538000 1922500 2307000 2883750 3845000 4614000 5767500 7690000 11535000 23070000