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14131488 = 2537171237
BaseRepresentation
bin110101111010…
…000100100000
3222120221202110
4311322010200
512104201423
61222515320
7231054450
oct65720440
928527673
1014131488
117a82218
124895b40
132c0a237
141c3bd60
151392193
hexd7a120

14131488 has 96 divisors (see below), whose sum is σ = 44924544. Its totient is φ = 3796992.

The previous prime is 14131487. The next prime is 14131501. The reversal of 14131488 is 88413141.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (14131487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10806 + ... + 12042.

It is an arithmetic number, because the mean of its divisors is an integer number (467964).

Almost surely, 214131488 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 14131488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22462272).

14131488 is an abundant number, since it is smaller than the sum of its proper divisors (30793056).

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

14131488 is a wasteful number, since it uses less digits than its factorization.

14131488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1266 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 14131488 is about 3759.1871461793. The cubic root of 14131488 is about 241.7664116729.

The spelling of 14131488 in words is "fourteen million, one hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1237 1428 1632 1904 2474 2856 3711 3808 4948 5712 7422 8659 9896 11424 14844 17318 19792 21029 25977 29688 34636 39584 42058 51954 59376 63087 69272 84116 103908 118752 126174 138544 147203 168232 207816 252348 277088 294406 336464 415632 441609 504696 588812 672928 831264 883218 1009392 1177624 1766436 2018784 2355248 3532872 4710496 7065744 14131488