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11874340 = 2252959347
BaseRepresentation
bin101101010011…
…000000100100
3211100021112101
4231103000210
511014434330
61102301444
7202634032
oct55230044
924307471
1011874340
116780405
123b87884
1325c9a4a
141811552
1510984ca
hexb53024

11874340 has 48 divisors (see below), whose sum is σ = 26308800. Its totient is φ = 4495232.

The previous prime is 11874329. The next prime is 11874341. The reversal of 11874340 is 4347811.

11874340 = T61 + T62 + ... + T414.

It is a junction number, because it is equal to n+sod(n) for n = 11874299 and 11874308.

It is not an unprimeable number, because it can be changed into a prime (11874341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34047 + ... + 34393.

It is an arithmetic number, because the mean of its divisors is an integer number (548100).

Almost surely, 211874340 is an apocalyptic number.

11874340 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 11874340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154400).

11874340 is an abundant number, since it is smaller than the sum of its proper divisors (14434460).

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

11874340 is a wasteful number, since it uses less digits than its factorization.

11874340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 11874340 is about 3445.9164238269. The cubic root of 11874340 is about 228.1409050023.

The spelling of 11874340 in words is "eleven million, eight hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 236 290 295 347 580 590 694 1180 1388 1711 1735 3422 3470 6844 6940 8555 10063 17110 20126 20473 34220 40252 40946 50315 81892 100630 102365 201260 204730 409460 593717 1187434 2374868 2968585 5937170 11874340