Search a number
-
+
20713077 = 3871141
BaseRepresentation
bin100111100000…
…0111001110101
31102222100000000
41033000321311
520300304302
62015541513
7341025660
oct117007165
942870000
1020713077
1110768050
126b2a899
1343a2b78
142a726d7
151c4231c
hex13c0e75

20713077 has 72 divisors (see below), whose sum is σ = 39678912. Its totient is φ = 10497600.

The previous prime is 20713073. The next prime is 20713079. The reversal of 20713077 is 77031702.

It is not a de Polignac number, because 20713077 - 22 = 20713073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20713077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20713073) 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, 505177 + ... + 505217.

It is an arithmetic number, because the mean of its divisors is an integer number (551096).

Almost surely, 220713077 is an apocalyptic number.

20713077 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20713077 is a deficient number, since it is larger than the sum of its proper divisors (18965835).

20713077 is an frugal number, since it uses more digits than its factorization.

20713077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 20713077 is about 4551.1621592732. The cubic root of 20713077 is about 274.6301452198.

Adding to 20713077 its reverse (77031702), we get a palindrome (97744779).

The spelling of 20713077 in words is "twenty million, seven hundred thirteen thousand, seventy-seven".

Divisors: 1 3 7 9 11 21 27 33 41 63 77 81 99 123 189 231 243 287 297 369 451 567 693 729 861 891 1107 1353 1701 2079 2187 2583 2673 3157 3321 4059 5103 6237 6561 7749 8019 9471 9963 12177 15309 18711 23247 24057 28413 29889 36531 45927 56133 69741 72171 85239 89667 109593 168399 209223 255717 269001 328779 505197 627669 767151 986337 1883007 2301453 2959011 6904359 20713077