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13997520 = 2432519441
BaseRepresentation
bin110101011001…
…010111010000
3222100010222200
4311121113100
512040410040
61220003200
7226656045
oct65312720
928303880
1013997520
1179a05a9
124830500
132b91274
141c051cc
151367630
hexd595d0

13997520 has 60 divisors (see below), whose sum is σ = 47010756. Its totient is φ = 3732480.

The previous prime is 13997519. The next prime is 13997537. The reversal of 13997520 is 2579931.

13997520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2413-1.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 9884736 = 2028^2 + 3144^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9001 + ... + 10440.

Almost surely, 213997520 is an apocalyptic number.

13997520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13997520 is an abundant number, since it is smaller than the sum of its proper divisors (33013236).

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

13997520 is a wasteful number, since it uses less digits than its factorization.

13997520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19460 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 13997520 is about 3741.3259681562. The cubic root of 13997520 is about 240.9999942609. Note that the first 5 decimals are identical.

The spelling of 13997520 in words is "thirteen million, nine hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19441 38882 58323 77764 97205 116646 155528 174969 194410 233292 291615 311056 349938 388820 466584 583230 699876 777640 874845 933168 1166460 1399752 1555280 1749690 2332920 2799504 3499380 4665840 6998760 13997520