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10942080 = 273541139
BaseRepresentation
bin101001101111…
…011010000000
3202120220201020
4221233122000
510300121310
61030305440
7162002052
oct51573200
922526636
1010942080
1161a3a46
1237b8280
132361606
14164b8d2
15e62170
hexa6f680

10942080 has 128 divisors (see below), whose sum is σ = 35985600. Its totient is φ = 2826240.

The previous prime is 10942069. The next prime is 10942097. The reversal of 10942080 is 8024901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×109420802 = 239458229452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10942080.

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 15 ways as a sum of consecutive naturals, for example, 78651 + ... + 78789.

Almost surely, 210942080 is an apocalyptic number.

10942080 is a gapful number since it is divisible by the number (10) 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 10942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992800).

10942080 is an abundant number, since it is smaller than the sum of its proper divisors (25043520).

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

10942080 is a wasteful number, since it uses less digits than its factorization.

10942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10942080 is about 3307.8814972728. The cubic root of 10942080 is about 222.0069797335.

Adding to 10942080 its reverse (8024901), we get a palindrome (18966981).

The spelling of 10942080 in words is "ten million, nine hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 139 160 164 192 205 240 246 278 320 328 384 410 417 480 492 556 615 640 656 695 820 834 960 984 1112 1230 1312 1390 1640 1668 1920 1968 2085 2224 2460 2624 2780 3280 3336 3936 4170 4448 4920 5248 5560 5699 6560 6672 7872 8340 8896 9840 11120 11398 13120 13344 15744 16680 17097 17792 19680 22240 22796 26240 26688 28495 33360 34194 39360 44480 45592 53376 56990 66720 68388 78720 85485 88960 91184 113980 133440 136776 170970 182368 227960 266880 273552 341940 364736 455920 547104 683880 729472 911840 1094208 1367760 1823680 2188416 2735520 3647360 5471040 10942080