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13995120 = 243558313
BaseRepresentation
bin110101011000…
…110001110000
3222100000200210
4311120301300
512040320440
61215544120
7226646046
oct65306160
928300623
1013995120
117999817
12482b040
132b90149
141c04396
151366a80
hexd58c70

13995120 has 40 divisors (see below), whose sum is σ = 43385616. Its totient is φ = 3731968.

The previous prime is 13995119. The next prime is 13995151. The reversal of 13995120 is 2159931.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28917 + ... + 29396.

Almost surely, 213995120 is an apocalyptic number.

13995120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13995120 is an abundant number, since it is smaller than the sum of its proper divisors (29390496).

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

13995120 is a wasteful number, since it uses less digits than its factorization.

13995120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58329 (or 58323 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 13995120 is about 3741.0052125064. The cubic root of 13995120 is about 240.9862196054.

It can be divided in two parts, 139 and 95120, that added together give a palindrome (95259).

The spelling of 13995120 in words is "thirteen million, nine hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 58313 116626 174939 233252 291565 349878 466504 583130 699756 874695 933008 1166260 1399512 1749390 2332520 2799024 3498780 4665040 6997560 13995120