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20370000 = 24354797
BaseRepresentation
bin100110110110…
…1001001010000
31102022220101110
41031231021100
520203320000
62004333320
7335066520
oct115551120
942286343
1020370000
1110553312
1269a4240
1342b2971
1429c3680
151bc5850
hex136d250

20370000 has 200 divisors, whose sum is σ = 75925696. Its totient is φ = 4608000.

The previous prime is 20369981. The next prime is 20370011. The reversal of 20370000 is 7302.

It is a tau number, because it is divible by the number of its divisors (200).

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

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 39 ways as a sum of consecutive naturals, for example, 209952 + ... + 210048.

Almost surely, 220370000 is an apocalyptic number.

20370000 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 20370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37962848).

20370000 is an abundant number, since it is smaller than the sum of its proper divisors (55555696).

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

20370000 is an equidigital number, since it uses as much as digits as its factorization.

20370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

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

The square root of 20370000 is about 4513.3136385587. The cubic root of 20370000 is about 273.1054349957.

Adding to 20370000 its reverse (7302), we get a palindrome (20377302).

The spelling of 20370000 in words is "twenty million, three hundred seventy thousand".