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13921248 = 2531113183
BaseRepresentation
bin110101000110…
…101111100000
3222012021100210
4311012233200
512030434443
61214214120
7226220505
oct65065740
928167323
1013921248
117949270
1247b4340
132b65633
141bc54ac
15134ec33
hexd46be0

13921248 has 48 divisors (see below), whose sum is σ = 39868416. Its totient is φ = 4218240.

The previous prime is 13921241. The next prime is 13921289. The reversal of 13921248 is 84212931.

13921248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×139212483 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13921241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5536 + ... + 7647.

It is an arithmetic number, because the mean of its divisors is an integer number (830592).

Almost surely, 213921248 is an apocalyptic number.

It is an amenable number.

13921248 is an abundant number, since it is smaller than the sum of its proper divisors (25947168).

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

13921248 is a wasteful number, since it uses less digits than its factorization.

13921248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13207 (or 13199 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 13921248 is about 3731.1188670424. The cubic root of 13921248 is about 240.5614632494.

The spelling of 13921248 in words is "thirteen million, nine hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 13183 26366 39549 52732 79098 105464 145013 158196 210928 290026 316392 421856 435039 580052 632784 870078 1160104 1265568 1740156 2320208 3480312 4640416 6960624 13921248