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11826420 = 2235533719
BaseRepresentation
bin101101000111…
…010011110100
3211020211210120
4231013103310
511011421140
61101251540
7202344234
oct55072364
924224716
1011826420
116748401
123b63bb0
1325b0ca8
1417dbcc4
1510891d0
hexb474f4

11826420 has 48 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 3093376.

The previous prime is 11826413. The next prime is 11826431. The reversal of 11826420 is 2462811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1321 + ... + 5039.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 211826420 is an apocalyptic number.

11826420 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 11826420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

11826420 is an abundant number, since it is smaller than the sum of its proper divisors (21921420).

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

11826420 is a wasteful number, since it uses less digits than its factorization.

11826420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11826420 is about 3438.9562369998. The cubic root of 11826420 is about 227.8335966489.

It can be divided in two parts, 11826 and 420, that added together give a triangular number (12246 = T156).

The spelling of 11826420 in words is "eleven million, eight hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 3719 7438 11157 14876 18595 22314 37190 44628 55785 74380 111570 197107 223140 394214 591321 788428 985535 1182642 1971070 2365284 2956605 3942140 5913210 11826420