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11869040 = 245891667
BaseRepresentation
bin101101010001…
…101101110000
3211100000021002
4231101231300
511014302130
61102221132
7202612421
oct55215560
924300232
1011869040
116777427
123b847a8
1325c7501
14180d648
151096b45
hexb51b70

11869040 has 40 divisors (see below), whose sum is σ = 27922320. Its totient is φ = 4691456.

The previous prime is 11869021. The next prime is 11869057. The reversal of 11869040 is 4096811.

11869040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×118690402 = 281748221043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11868994 and 11869012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6287 + ... + 7953.

It is an arithmetic number, because the mean of its divisors is an integer number (698058).

Almost surely, 211869040 is an apocalyptic number.

11869040 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 11869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961160).

11869040 is an abundant number, since it is smaller than the sum of its proper divisors (16053280).

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

11869040 is a wasteful number, since it uses less digits than its factorization.

11869040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 11869040 is about 3445.1473117996. The cubic root of 11869040 is about 228.1069571018.

The spelling of 11869040 in words is "eleven million, eight hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1667 1780 3334 3560 6668 7120 8335 13336 16670 26672 33340 66680 133360 148363 296726 593452 741815 1186904 1483630 2373808 2967260 5934520 11869040