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13875000 = 2335637
BaseRepresentation
bin110100111011…
…011100111000
3222002220220220
4310323130320
512023000000
61213220040
7225635616
oct64733470
928086826
1013875000
117917547
124791620
132b4a579
141bb26b6
1513411a0
hexd3b738

13875000 has 112 divisors (see below), whose sum is σ = 44530680. Its totient is φ = 3600000.

The previous prime is 13874983. The next prime is 13875023. The reversal of 13875000 is 57831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 374982 + ... + 375018.

Almost surely, 213875000 is an apocalyptic number.

13875000 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 13875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22265340).

13875000 is an abundant number, since it is smaller than the sum of its proper divisors (30655680).

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

13875000 is an frugal number, since it uses more digits than its factorization.

13875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 13875000 is about 3724.9161064378. The cubic root of 13875000 is about 240.2947766853.

The spelling of 13875000 in words is "thirteen million, eight hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 625 740 750 888 925 1000 1110 1250 1480 1500 1850 1875 2220 2500 2775 3000 3125 3700 3750 4440 4625 5000 5550 6250 7400 7500 9250 9375 11100 12500 13875 15000 15625 18500 18750 22200 23125 25000 27750 31250 37000 37500 46250 46875 55500 62500 69375 75000 92500 93750 111000 115625 125000 138750 185000 187500 231250 277500 346875 375000 462500 555000 578125 693750 925000 1156250 1387500 1734375 2312500 2775000 3468750 4625000 6937500 13875000