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11412660 = 2235729937
BaseRepresentation
bin101011100010…
…010010110100
3210110211020010
4223202102310
510410201120
61044340220
7166002030
oct53422264
923424203
1011412660
116495556
1239a4670
13249786c
1417311c0
1510067e0
hexae24b4

11412660 has 96 divisors (see below), whose sum is σ = 37820160. Its totient is φ = 2515968.

The previous prime is 11412641. The next prime is 11412671. The reversal of 11412660 is 6621411.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 11712 + ... + 12648.

It is an arithmetic number, because the mean of its divisors is an integer number (393960).

Almost surely, 211412660 is an apocalyptic number.

11412660 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 11412660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18910080).

11412660 is an abundant number, since it is smaller than the sum of its proper divisors (26407500).

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

11412660 is a wasteful number, since it uses less digits than its factorization.

11412660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11412660 is about 3378.2628672145. The cubic root of 11412660 is about 225.1449929643.

The spelling of 11412660 in words is "eleven million, four hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 937 1015 1218 1740 1874 2030 2436 2811 3045 3748 4060 4685 5622 6090 6559 9370 11244 12180 13118 14055 18740 19677 26236 27173 28110 32795 39354 54346 56220 65590 78708 81519 98385 108692 131180 135865 163038 190211 196770 271730 326076 380422 393540 407595 543460 570633 760844 815190 951055 1141266 1630380 1902110 2282532 2853165 3804220 5706330 11412660