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11291840 = 2657712
BaseRepresentation
bin101011000100…
…110011000000
3210020200111022
4223010303000
510342314330
61042005012
7164656550
oct53046300
923220438
1011291840
1164127aa
123946768
132454881
1416dd160
15ed0ae5
hexac4cc0

11291840 has 84 divisors (see below), whose sum is σ = 31168848. Its totient is φ = 3816960.

The previous prime is 11291831. The next prime is 11291849. The reversal of 11291840 is 4819211.

It is an interprime number because it is at equal distance from previous prime (11291831) and next prime (11291849).

It is not an unprimeable number, because it can be changed into a prime (11291849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159005 + ... + 159075.

Almost surely, 211291840 is an apocalyptic number.

11291840 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 11291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584424).

11291840 is an abundant number, since it is smaller than the sum of its proper divisors (19877008).

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

11291840 is an frugal number, since it uses more digits than its factorization.

11291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 11291840 is about 3360.3333168006. Note that the first 4 decimals coincide. The cubic root of 11291840 is about 224.3476743750.

The spelling of 11291840 in words is "eleven million, two hundred ninety-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 140 142 160 224 280 284 320 355 448 497 560 568 710 994 1120 1136 1420 1988 2240 2272 2485 2840 3976 4544 4970 5041 5680 7952 9940 10082 11360 15904 19880 20164 22720 25205 31808 35287 39760 40328 50410 70574 79520 80656 100820 141148 159040 161312 176435 201640 282296 322624 352870 403280 564592 705740 806560 1129184 1411480 1613120 2258368 2822960 5645920 11291840