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20331400 = 2352591723
BaseRepresentation
bin100110110001…
…1101110001000
31102020221102211
41031203232020
520201101100
62003434504
7334546135
oct115435610
942227384
1020331400
1110527311
126985a34
13429b21b
1429b358c
151bb91ba
hex1363b88

20331400 has 48 divisors (see below), whose sum is σ = 48099600. Its totient is φ = 7990080.

The previous prime is 20331373. The next prime is 20331403. The reversal of 20331400 is 413302.

It is not an unprimeable number, because it can be changed into a prime (20331403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10939 + ... + 12661.

It is an arithmetic number, because the mean of its divisors is an integer number (1002075).

Almost surely, 220331400 is an apocalyptic number.

20331400 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 20331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24049800).

20331400 is an abundant number, since it is smaller than the sum of its proper divisors (27768200).

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

20331400 is a wasteful number, since it uses less digits than its factorization.

20331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 20331400 is about 4509.0353735583. The cubic root of 20331400 is about 272.9328194572.

Adding to 20331400 its reverse (413302), we get a palindrome (20744702).

The spelling of 20331400 in words is "twenty million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 1723 2360 2950 3446 5900 6892 8615 11800 13784 17230 34460 43075 68920 86150 101657 172300 203314 344600 406628 508285 813256 1016570 2033140 2541425 4066280 5082850 10165700 20331400