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20371000 = 2353131567
BaseRepresentation
bin100110110110…
…1011000111000
31102022221202111
41031231120320
520203333000
62004342104
7335102446
oct115553070
942287674
1020371000
1110554041
1269a4934
1342b3260
1429c3b96
151bc5cba
hex136d638

20371000 has 64 divisors (see below), whose sum is σ = 51367680. Its totient is φ = 7516800.

The previous prime is 20370991. The next prime is 20371051. The reversal of 20371000 is 17302.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12217 + ... + 13783.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 220371000 is an apocalyptic number.

20371000 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 20371000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25683840).

20371000 is an abundant number, since it is smaller than the sum of its proper divisors (30996680).

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

20371000 is a wasteful number, since it uses less digits than its factorization.

20371000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 20371000 is about 4513.4244205481. The cubic root of 20371000 is about 273.1099040019.

Adding to 20371000 its reverse (17302), we get a palindrome (20388302).

The spelling of 20371000 in words is "twenty million, three hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1567 1625 2600 3134 3250 6268 6500 7835 12536 13000 15670 20371 31340 39175 40742 62680 78350 81484 101855 156700 162968 195875 203710 313400 391750 407420 509275 783500 814840 1018550 1567000 2037100 2546375 4074200 5092750 10185500 20371000