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14128764 = 2231341472
BaseRepresentation
bin110101111001…
…011001111100
3222120211000120
4311321121330
512104110024
61222454540
7231043506
oct65713174
928524016
1014128764
117a80171
124894450
132c08c20
141c3ad76
151391479
hexd7967c

14128764 has 72 divisors (see below), whose sum is σ = 37159248. Its totient is φ = 4151040.

The previous prime is 14128757. The next prime is 14128769. The reversal of 14128764 is 46782141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14128769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300589 + ... + 300635.

Almost surely, 214128764 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 14128764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579624).

14128764 is an abundant number, since it is smaller than the sum of its proper divisors (23030484).

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

14128764 is a wasteful number, since it uses less digits than its factorization.

14128764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 106 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 14128764 is about 3758.8248163489. The cubic root of 14128764 is about 241.7508762949.

It can be divided in two parts, 14 and 128764, that added together give a triangular number (128778 = T507).

The spelling of 14128764 in words is "fourteen million, one hundred twenty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 41 47 52 78 82 94 123 141 156 164 188 246 282 492 533 564 611 1066 1222 1599 1833 1927 2132 2209 2444 3198 3666 3854 4418 5781 6396 6627 7332 7708 8836 11562 13254 23124 25051 26508 28717 50102 57434 75153 86151 90569 100204 114868 150306 172302 181138 271707 300612 344604 362276 543414 1086828 1177397 2354794 3532191 4709588 7064382 14128764