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11872140 = 22357231229
BaseRepresentation
bin101101010010…
…011110001100
3211100011111220
4231102132030
511014402030
61102243340
7202624440
oct55223614
924304456
1011872140
116779795
123b86550
1325c8a47
141810820
151097a10
hexb5278c

11872140 has 96 divisors (see below), whose sum is σ = 39674880. Its totient is φ = 2593536.

The previous prime is 11872111. The next prime is 11872177. The reversal of 11872140 is 4127811.

11872140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11872140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9046 + ... + 10274.

It is an arithmetic number, because the mean of its divisors is an integer number (413280).

Almost surely, 211872140 is an apocalyptic number.

11872140 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 11872140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837440).

11872140 is an abundant number, since it is smaller than the sum of its proper divisors (27802740).

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

11872140 is a wasteful number, since it uses less digits than its factorization.

11872140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 11872140 is about 3445.5971906188. The cubic root of 11872140 is about 228.1268146475.

Adding to 11872140 its reverse (4127811), we get a palindrome (15999951).

The spelling of 11872140 in words is "eleven million, eight hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1229 1380 1610 1932 2415 2458 3220 3687 4830 4916 6145 7374 8603 9660 12290 14748 17206 18435 24580 25809 28267 34412 36870 43015 51618 56534 73740 84801 86030 103236 113068 129045 141335 169602 172060 197869 258090 282670 339204 395738 424005 516180 565340 593607 791476 848010 989345 1187214 1696020 1978690 2374428 2968035 3957380 5936070 11872140