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20697300 = 223252132961
BaseRepresentation
bin100111011110…
…1000011010100
31102221112100200
41032331003110
520244303200
62015340500
7340631661
oct116750324
942845320
1020697300
1110757208
126b21730
134398930
142a6aa68
151c3c800
hex13bd0d4

20697300 has 216 divisors, whose sum is σ = 73458840. Its totient is φ = 4838400.

The previous prime is 20697283. The next prime is 20697301. The reversal of 20697300 is 379602.

It can be written as a sum of positive squares in 12 ways, for example, as 15023376 + 5673924 = 3876^2 + 2382^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20697301) 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 71 ways as a sum of consecutive naturals, for example, 339270 + ... + 339330.

Almost surely, 220697300 is an apocalyptic number.

20697300 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 20697300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36729420).

20697300 is an abundant number, since it is smaller than the sum of its proper divisors (52761540).

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

20697300 is a wasteful number, since it uses less digits than its factorization.

20697300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20697300 is about 4549.4285355416. The cubic root of 20697300 is about 274.5603995809.

The spelling of 20697300 in words is "twenty million, six hundred ninety-seven thousand, three hundred".