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13970000 = 245411127
BaseRepresentation
bin110101010010…
…101001010000
3222021202020102
4311102221100
512034020000
61215231532
7226512602
oct65225120
928252212
1013970000
117981960
1248185a8
132b81895
141bd9172
15135e3d5
hexd52a50

13970000 has 100 divisors (see below), whose sum is σ = 37188096. Its totient is φ = 5040000.

The previous prime is 13969973. The next prime is 13970009. The reversal of 13970000 is 7931.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13970009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109937 + ... + 110063.

Almost surely, 213970000 is an apocalyptic number.

13970000 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 13970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18594048).

13970000 is an abundant number, since it is smaller than the sum of its proper divisors (23218096).

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

13970000 is a wasteful number, since it uses less digits than its factorization.

13970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 13970000 is about 3737.6463182062. The cubic root of 13970000 is about 240.8419502856.

Adding to 13970000 its reverse (7931), we get a palindrome (13977931).

The spelling of 13970000 in words is "thirteen million, nine hundred seventy thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 127 176 200 220 250 254 275 400 440 500 508 550 625 635 880 1000 1016 1100 1250 1270 1375 1397 2000 2032 2200 2500 2540 2750 2794 3175 4400 5000 5080 5500 5588 6350 6875 6985 10000 10160 11000 11176 12700 13750 13970 15875 22000 22352 25400 27500 27940 31750 34925 50800 55000 55880 63500 69850 79375 110000 111760 127000 139700 158750 174625 254000 279400 317500 349250 558800 635000 698500 873125 1270000 1397000 1746250 2794000 3492500 6985000 13970000