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11875000 = 235719
BaseRepresentation
bin101101010011…
…001010111000
3211100022102211
4231103022320
511020000000
61102304504
7202635664
oct55231270
924308384
1011875000
116780955
123b88134
1325ca137
1418118a4
1510987ba
hexb532b8

11875000 has 64 divisors (see below), whose sum is σ = 29296800. Its totient is φ = 4500000.

The previous prime is 11874979. The next prime is 11875001. The reversal of 11875000 is 57811.

11875000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11875001) 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, 624991 + ... + 625009.

Almost surely, 211875000 is an apocalyptic number.

11875000 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 11875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14648400).

11875000 is an abundant number, since it is smaller than the sum of its proper divisors (17421800).

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

11875000 is an frugal number, since it uses more digits than its factorization.

11875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 11875000 is about 3446.0121880226. The cubic root of 11875000 is about 228.1451317693.

The spelling of 11875000 in words is "eleven million, eight hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 625 760 950 1000 1250 1900 2375 2500 3125 3800 4750 5000 6250 9500 11875 12500 15625 19000 23750 25000 31250 47500 59375 62500 78125 95000 118750 125000 156250 237500 296875 312500 475000 593750 625000 1187500 1484375 2375000 2968750 5937500 11875000