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20938590 = 2325733187
BaseRepresentation
bin100111111011…
…1111101011110
31110101210100100
41033313331132
520330013330
62024441530
7342655311
oct117677536
943353310
1020938590
1110901522
1270192a6
1344516ca
142ad0978
151c89060
hex13f7f5e

20938590 has 48 divisors (see below), whose sum is σ = 55203408. Its totient is φ = 5505408.

The previous prime is 20938583. The next prime is 20938597. The reversal of 20938590 is 9583902.

It is an interprime number because it is at equal distance from previous prime (20938583) and next prime (20938597).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20938597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4977 + ... + 8163.

It is an arithmetic number, because the mean of its divisors is an integer number (1150071).

Almost surely, 220938590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20938590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27601704).

20938590 is an abundant number, since it is smaller than the sum of its proper divisors (34264818).

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

20938590 is a wasteful number, since it uses less digits than its factorization.

20938590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 20938590 is about 4575.8704090042. The cubic root of 20938590 is about 275.6232256507.

It can be divided in two parts, 20938 and 590, that added together give a triangular number (21528 = T207).

The spelling of 20938590 in words is "twenty million, nine hundred thirty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3187 3285 6374 6570 9561 15935 19122 28683 31870 47805 57366 95610 143415 232651 286830 465302 697953 1163255 1395906 2093859 2326510 3489765 4187718 6979530 10469295 20938590