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20953044 = 22327176773
BaseRepresentation
bin100111111101…
…1011111010100
31110102112011200
41033323133110
520330444134
62025032500
7343045410
oct117733724
943375150
1020953044
1110911372
127025730
134458168
142ad5d40
151c8d499
hex13fb7d4

20953044 has 144 divisors (see below), whose sum is σ = 65939328. Its totient is φ = 5474304.

The previous prime is 20953019. The next prime is 20953081. The reversal of 20953044 is 44035902.

20953044 = T32 + T33 + ... + T500.

It is a junction number, because it is equal to n+sod(n) for n = 20952999 and 20953017.

It is a congruent number.

It is an unprimeable number.

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, 286992 + ... + 287064.

It is an arithmetic number, because the mean of its divisors is an integer number (457912).

Almost surely, 220953044 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 20953044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32969664).

20953044 is an abundant number, since it is smaller than the sum of its proper divisors (44986284).

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

20953044 is a wasteful number, since it uses less digits than its factorization.

20953044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20953044 is about 4577.4495081868. The cubic root of 20953044 is about 275.6866323679.

Adding to 20953044 its reverse (44035902), we get a palindrome (64988946).

The spelling of 20953044 in words is "twenty million, nine hundred fifty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 67 68 73 84 102 119 126 134 146 153 201 204 219 238 252 268 292 306 357 402 438 469 476 511 603 612 657 714 804 876 938 1022 1071 1139 1206 1241 1314 1407 1428 1533 1876 2044 2142 2278 2412 2482 2628 2814 3066 3417 3723 4221 4284 4556 4599 4891 4964 5628 6132 6834 7446 7973 8442 8687 9198 9782 10251 11169 13668 14673 14892 15946 16884 17374 18396 19564 20502 22338 23919 26061 29346 31892 34237 34748 41004 44019 44676 47838 52122 58692 68474 71757 78183 83147 88038 95676 102711 104244 136948 143514 156366 166294 176076 205422 249441 287028 308133 312732 332588 410844 498882 582029 616266 748323 997764 1164058 1232532 1496646 1746087 2328116 2993292 3492174 5238261 6984348 10476522 20953044