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20938533 = 3721123563
BaseRepresentation
bin100111111011…
…1111100100101
31110101210021020
41033313330211
520330013113
62024441353
7342655200
oct117677445
943353236
1020938533
1110901480
127019259
134451685
142ad0937
151c89023
hex13f7f25

20938533 has 48 divisors (see below), whose sum is σ = 37034496. Its totient is φ = 10385760.

The previous prime is 20938531. The next prime is 20938537. The reversal of 20938533 is 33583902.

It is not a de Polignac number, because 20938533 - 21 = 20938531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20938494 and 20938503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20938531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36910 + ... + 37472.

It is an arithmetic number, because the mean of its divisors is an integer number (771552).

Almost surely, 220938533 is an apocalyptic number.

20938533 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20938533 is a deficient number, since it is larger than the sum of its proper divisors (16095963).

20938533 is a wasteful number, since it uses less digits than its factorization.

20938533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 20938533 is about 4575.8641806767. The cubic root of 20938533 is about 275.6229755457.

20938533 divided by its sum of digits (33) gives a triangular number (634501 = T1126).

The spelling of 20938533 in words is "twenty million, nine hundred thirty-eight thousand, five hundred thirty-three".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 539 563 759 1127 1617 1689 1771 3381 3941 5313 6193 11823 12397 12949 18579 27587 37191 38847 43351 82761 90643 130053 142439 271929 303457 427317 634501 910371 997073 1903503 2991219 6979511 20938533