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20361300 = 22352671013
BaseRepresentation
bin100110110101…
…1000001010100
31102022110110020
41031223001110
520203030200
62004225140
7335032251
oct115530124
942273406
1020361300
1110547823
12699b1b0
1342aba0b
1429c0428
151bc2ea0
hex136b054

20361300 has 72 divisors (see below), whose sum is σ = 59850336. Its totient is φ = 5343360.

The previous prime is 20361281. The next prime is 20361301. The reversal of 20361300 is 316302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20361300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20361301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19594 + ... + 20606.

Almost surely, 220361300 is an apocalyptic number.

20361300 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 20361300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29925168).

20361300 is an abundant number, since it is smaller than the sum of its proper divisors (39489036).

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

20361300 is a wasteful number, since it uses less digits than its factorization.

20361300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 20361300 is about 4512.3497204893. The cubic root of 20361300 is about 273.0665484693.

Adding to 20361300 its reverse (316302), we get a palindrome (20677602).

The spelling of 20361300 in words is "twenty million, three hundred sixty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1013 1340 1675 2010 2026 3039 3350 4020 4052 5025 5065 6078 6700 10050 10130 12156 15195 20100 20260 25325 30390 50650 60780 67871 75975 101300 135742 151950 203613 271484 303900 339355 407226 678710 814452 1018065 1357420 1696775 2036130 3393550 4072260 5090325 6787100 10180650 20361300