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10671444 = 22327174753
BaseRepresentation
bin101000101101…
…010101010100
3202002011110200
4220231111110
510212441234
61020420500
7156464040
oct50552524
922064420
1010671444
116029683
1236a7730
132298384
1415bb020
15e0bd99
hexa2d554

10671444 has 144 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 2755584.

The previous prime is 10671433. The next prime is 10671469. The reversal of 10671444 is 44417601.

It is a super-2 number, since 2×106714442 = 227759434090272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201322 + ... + 201374.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 210671444 is an apocalyptic number.

10671444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10671444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

10671444 is an abundant number, since it is smaller than the sum of its proper divisors (23294124).

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

10671444 is a wasteful number, since it uses less digits than its factorization.

10671444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

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

The square root of 10671444 is about 3266.7176186503. The cubic root of 10671444 is about 220.1613417028.

The spelling of 10671444 in words is "ten million, six hundred seventy-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 47 51 53 63 68 84 94 102 106 119 126 141 153 159 188 204 212 238 252 282 306 318 329 357 371 423 476 477 564 612 636 658 714 742 799 846 901 954 987 1071 1113 1316 1428 1484 1598 1692 1802 1908 1974 2142 2226 2397 2491 2703 2961 3196 3339 3604 3948 4284 4452 4794 4982 5406 5593 5922 6307 6678 7191 7473 8109 9588 9964 10812 11186 11844 12614 13356 14382 14946 16218 16779 17437 18921 22372 22419 25228 28764 29892 32436 33558 34874 37842 42347 44838 50337 52311 56763 67116 69748 75684 84694 89676 100674 104622 113526 127041 156933 169388 201348 209244 227052 254082 296429 313866 381123 508164 592858 627732 762246 889287 1185716 1524492 1778574 2667861 3557148 5335722 10671444