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14987040 = 253531223
BaseRepresentation
bin111001001010…
…111100100000
31001012102100120
4321022330200
512314041130
61253120240
7241246665
oct71127440
931172316
1014987040
118506a92
125029080
133149793
141dc1a6c
1514b0910
hexe4af20

14987040 has 48 divisors (see below), whose sum is σ = 47210688. Its totient is φ = 3996416.

The previous prime is 14987039. The next prime is 14987051. The reversal of 14987040 is 4078941.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×149870402 = 449222735923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14986992 and 14987010.

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, 15132 + ... + 16091.

It is an arithmetic number, because the mean of its divisors is an integer number (983556).

Almost surely, 214987040 is an apocalyptic number.

14987040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14987040 is an abundant number, since it is smaller than the sum of its proper divisors (32223648).

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

14987040 is a wasteful number, since it uses less digits than its factorization.

14987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31241 (or 31233 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14987040 is about 3871.3098558498. The cubic root of 14987040 is about 246.5501600597.

The spelling of 14987040 in words is "fourteen million, nine hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 31223 62446 93669 124892 156115 187338 249784 312230 374676 468345 499568 624460 749352 936690 999136 1248920 1498704 1873380 2497840 2997408 3746760 4995680 7493520 14987040