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14131248 = 243833547
BaseRepresentation
bin110101111010…
…000000110000
3222120221102120
4311322000300
512104144443
61222514240
7231053655
oct65720060
928527376
1014131248
117a8201a
124895980
132c0a0b1
141c3bc2c
151392083
hexd7a030

14131248 has 40 divisors (see below), whose sum is σ = 36955968. Its totient is φ = 4652352.

The previous prime is 14131237. The next prime is 14131259. The reversal of 14131248 is 84213141.

It is an interprime number because it is at equal distance from previous prime (14131237) and next prime (14131259).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2211 + ... + 5757.

Almost surely, 214131248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14131248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477984).

14131248 is an abundant number, since it is smaller than the sum of its proper divisors (22824720).

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

14131248 is a wasteful number, since it uses less digits than its factorization.

14131248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3635 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 14131248 is about 3759.1552242492. The cubic root of 14131248 is about 241.7650429974.

Adding to 14131248 its reverse (84213141), we get a palindrome (98344389).

The spelling of 14131248 in words is "fourteen million, one hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3547 3984 7094 10641 14188 21282 28376 42564 56752 85128 170256 294401 588802 883203 1177604 1766406 2355208 3532812 4710416 7065624 14131248