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11873000 = 235331383
BaseRepresentation
bin101101010010…
…101011101000
3211100012200202
4231102223220
511014414000
61102251332
7202630106
oct55225350
924305622
1011873000
11677a3a7
123b86b48
1325c9259
141810c76
151097dd5
hexb52ae8

11873000 has 64 divisors (see below), whose sum is σ = 28753920. Its totient is φ = 4584000.

The previous prime is 11872961. The next prime is 11873011. The reversal of 11873000 is 37811.

11873000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30809 + ... + 31191.

It is an arithmetic number, because the mean of its divisors is an integer number (449280).

Almost surely, 211873000 is an apocalyptic number.

11873000 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 11873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376960).

11873000 is an abundant number, since it is smaller than the sum of its proper divisors (16880920).

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

11873000 is a wasteful number, since it uses less digits than its factorization.

11873000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 11873000 is about 3445.7219853029. The cubic root of 11873000 is about 228.1323229025.

The spelling of 11873000 in words is "eleven million, eight hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 383 500 620 766 775 1000 1240 1532 1550 1915 3064 3100 3830 3875 6200 7660 7750 9575 11873 15320 15500 19150 23746 31000 38300 47492 47875 59365 76600 94984 95750 118730 191500 237460 296825 383000 474920 593650 1187300 1484125 2374600 2968250 5936500 11873000