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13750000 = 245711
BaseRepresentation
bin110100011100…
…111011110000
3221212120110021
4310130323300
512010000000
61210413224
7224605315
oct64347360
927776407
1013750000
117841640
124731214
132b056c4
141b7cd0c
15131911a
hexd1cef0

13750000 has 80 divisors (see below), whose sum is σ = 36328032. Its totient is φ = 5000000.

The previous prime is 13749997. The next prime is 13750043. The reversal of 13750000 is 5731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249995 + ... + 1250005.

Almost surely, 213750000 is an apocalyptic number.

13750000 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 13750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18164016).

13750000 is an abundant number, since it is smaller than the sum of its proper divisors (22578032).

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

13750000 is an frugal number, since it uses more digits than its factorization.

13750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 13750000 is about 3708.0992435478. The cubic root of 13750000 is about 239.5709928531.

Adding to 13750000 its reverse (5731), we get a palindrome (13755731).

The spelling of 13750000 in words is "thirteen million, seven hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 3125 4400 5000 5500 6250 6875 10000 11000 12500 13750 15625 22000 25000 27500 31250 34375 50000 55000 62500 68750 78125 110000 125000 137500 156250 171875 250000 275000 312500 343750 550000 625000 687500 859375 1250000 1375000 1718750 2750000 3437500 6875000 13750000