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11444706 = 23371317137
BaseRepresentation
bin101011101010…
…000111100010
3210112110012000
4223222013202
510412212311
61045144430
7166164330
oct53520742
923473160
1011444706
116507639
1239bb116
1324a9320
14173cb50
151011056
hexaea1e2

11444706 has 128 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 2820096.

The previous prime is 11444687. The next prime is 11444717. The reversal of 11444706 is 60744411.

11444706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11444706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83470 + ... + 83606.

It is an arithmetic number, because the mean of its divisors is an integer number (260820).

Almost surely, 211444706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

11444706 is an abundant number, since it is smaller than the sum of its proper divisors (21940254).

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

11444706 is a wasteful number, since it uses less digits than its factorization.

11444706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 11444706 is about 3383.0025125619. The cubic root of 11444706 is about 225.3555268182.

The spelling of 11444706 in words is "eleven million, four hundred forty-four thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 39 42 51 54 63 78 91 102 117 119 126 137 153 182 189 221 234 238 273 274 306 351 357 378 411 442 459 546 663 702 714 819 822 918 959 1071 1233 1326 1547 1638 1781 1918 1989 2142 2329 2457 2466 2877 3094 3213 3562 3699 3978 4641 4658 4914 5343 5754 5967 6426 6987 7398 8631 9282 10686 11934 12467 13923 13974 16029 16303 17262 20961 24934 25893 27846 30277 32058 32606 37401 41769 41922 48087 48909 51786 60554 62883 74802 83538 90831 96174 97818 112203 125766 146727 181662 211939 224406 272493 293454 336609 423878 440181 544986 635817 673218 817479 880362 1271634 1634958 1907451 3814902 5722353 11444706