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20626164 = 2234135983
BaseRepresentation
bin100111010101…
…1101011110100
31102210220210000
41032223223310
520240014124
62014031300
7340214406
oct116535364
942726700
1020626164
1110708819
126aa8530
134372440
142a4cb76
151c266c9
hex13abaf4

20626164 has 120 divisors (see below), whose sum is σ = 59764320. Its totient is φ = 6163776.

The previous prime is 20626127. The next prime is 20626171. The reversal of 20626164 is 46162602.

It is a happy number.

20626164 is a `hidden beast` number, since 20 + 626 + 16 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248467 + ... + 248549.

It is an arithmetic number, because the mean of its divisors is an integer number (498036).

Almost surely, 220626164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20626164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29882160).

20626164 is an abundant number, since it is smaller than the sum of its proper divisors (39138156).

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

20626164 is a wasteful number, since it uses less digits than its factorization.

20626164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20626164 is about 4541.6036815204. The cubic root of 20626164 is about 274.2454865669.

Adding to 20626164 its reverse (46162602), we get a palindrome (66788766).

The spelling of 20626164 in words is "twenty million, six hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 81 83 108 117 118 156 162 166 177 234 236 249 324 332 351 354 468 498 531 702 708 747 767 996 1053 1062 1079 1404 1494 1534 1593 2106 2124 2158 2241 2301 2988 3068 3186 3237 4212 4316 4482 4602 4779 4897 6372 6474 6723 6903 8964 9204 9558 9711 9794 12948 13446 13806 14691 19116 19422 19588 20709 26892 27612 29133 29382 38844 41418 44073 58266 58764 62127 63661 82836 87399 88146 116532 124254 127322 132219 174798 176292 190983 248508 254644 264438 349596 381966 396657 528876 572949 763932 793314 1145898 1586628 1718847 2291796 3437694 5156541 6875388 10313082 20626164