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11820240 = 2432516417
BaseRepresentation
bin101101000101…
…110011010000
3211020112022200
4231011303100
511011221430
61101203200
7202320225
oct55056320
924215280
1011820240
1167437a3
123b60500
1325ab233
1417d994c
151087460
hexb45cd0

11820240 has 60 divisors (see below), whose sum is σ = 39698724. Its totient is φ = 3151872.

The previous prime is 11820239. The next prime is 11820241. The reversal of 11820240 is 4202811.

It is an interprime number because it is at equal distance from previous prime (11820239) and next prime (11820241).

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 8225424 = 1896^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11820241) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7489 + ... + 8928.

Almost surely, 211820240 is an apocalyptic number.

11820240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11820240 is an abundant number, since it is smaller than the sum of its proper divisors (27878484).

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

11820240 is a wasteful number, since it uses less digits than its factorization.

11820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436 (or 16427 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11820240 is about 3438.0575911407. The cubic root of 11820240 is about 227.7939042496.

The spelling of 11820240 in words is "eleven million, eight hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16417 32834 49251 65668 82085 98502 131336 147753 164170 197004 246255 262672 295506 328340 394008 492510 591012 656680 738765 788016 985020 1182024 1313360 1477530 1970040 2364048 2955060 3940080 5910120 11820240