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20303400 = 233521319137
BaseRepresentation
bin100110101110…
…0111000101000
31102012112000210
41031130320220
520144202100
62003101120
7334401405
oct115347050
942175023
1020303400
1110508277
1269717a0
13428b560
1429a72ac
151bb0c50
hex135ce28

20303400 has 192 divisors, whose sum is σ = 71870400. Its totient is φ = 4700160.

The previous prime is 20303351. The next prime is 20303431. The reversal of 20303400 is 430302.

20303400 = T439 + T440 + ... + T590.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148132 + ... + 148268.

It is an arithmetic number, because the mean of its divisors is an integer number (374325).

Almost surely, 220303400 is an apocalyptic number.

20303400 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 20303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35935200).

20303400 is an abundant number, since it is smaller than the sum of its proper divisors (51567000).

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

20303400 is a wasteful number, since it uses less digits than its factorization.

20303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 20303400 is about 4505.9294268774. The cubic root of 20303400 is about 272.8074693448.

Adding to 20303400 its reverse (430302), we get a palindrome (20733702).

The spelling of 20303400 in words is "twenty million, three hundred three thousand, four hundred".