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20707400 = 2352722113
BaseRepresentation
bin100111011111…
…1100001001000
31102222001012202
41032333201020
520300114100
62015455332
7341003300
oct116774110
942861182
1020707400
111076385a
126b27548
1343a03cc
142a70600
151c407d5
hex13bf848

20707400 has 72 divisors (see below), whose sum is σ = 56031570. Its totient is φ = 7096320.

The previous prime is 20707387. The next prime is 20707403. The reversal of 20707400 is 470702.

It can be written as a sum of positive squares in 3 ways, for example, as 7761796 + 12945604 = 2786^2 + 3598^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20707403) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 8744 + ... + 10856.

Almost surely, 220707400 is an apocalyptic number.

20707400 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 20707400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28015785).

20707400 is an abundant number, since it is smaller than the sum of its proper divisors (35324170).

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

20707400 is a wasteful number, since it uses less digits than its factorization.

20707400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 20707400 is about 4550.5384296806. The cubic root of 20707400 is about 274.6050528946.

20707400 divided by its product of nonzero digits (392) gives a palindrome (52825).

The spelling of 20707400 in words is "twenty million, seven hundred seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2113 2450 4226 4900 8452 9800 10565 14791 16904 21130 29582 42260 52825 59164 73955 84520 103537 105650 118328 147910 207074 211300 295820 369775 414148 422600 517685 591640 739550 828296 1035370 1479100 2070740 2588425 2958200 4141480 5176850 10353700 20707400