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20555964 = 223311413
BaseRepresentation
bin100111001101…
…0100010111100
31102200100111000
41032122202330
520230242324
62012330300
7336502632
oct116324274
942610430
1020555964
1110670000
126a73990
1343494c0
142a31352
151c109c9
hex139a8bc

20555964 has 120 divisors (see below), whose sum is σ = 63131600. Its totient is φ = 5749920.

The previous prime is 20555957. The next prime is 20555971. The reversal of 20555964 is 46955502.

It is an interprime number because it is at equal distance from previous prime (20555957) and next prime (20555971).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1581222 + ... + 1581234.

Almost surely, 220555964 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 20555964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31565800).

20555964 is an abundant number, since it is smaller than the sum of its proper divisors (42575636).

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

20555964 is a wasteful number, since it uses less digits than its factorization.

20555964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 20555964 is about 4533.8685468372. The cubic root of 20555964 is about 273.9340065195.

It can be divided in two parts, 205 and 55964, that added together give a square (56169 = 2372).

The spelling of 20555964 in words is "twenty million, five hundred fifty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 121 132 143 156 198 234 242 286 297 351 363 396 429 468 484 572 594 702 726 858 1089 1188 1287 1331 1404 1452 1573 1716 2178 2574 2662 3146 3267 3861 3993 4356 4719 5148 5324 6292 6534 7722 7986 9438 11979 13068 14157 14641 15444 15972 17303 18876 23958 28314 29282 34606 35937 42471 43923 47916 51909 56628 58564 69212 71874 84942 87846 103818 131769 143748 155727 169884 175692 190333 207636 263538 311454 380666 395307 467181 527076 570999 622908 761332 790614 934362 1141998 1581228 1712997 1868724 2283996 3425994 5138991 6851988 10277982 20555964