Search a number
-
+
14890368 = 273172281
BaseRepresentation
bin111000110011…
…010110000000
31001000111202010
4320303112000
512302442433
61251052520
7240365103
oct70632600
931014663
1014890368
118450399
124ba1140
13311478c
141d9873a
151491e63
hexe33580

14890368 has 64 divisors (see below), whose sum is σ = 41897520. Its totient is φ = 4669440.

The previous prime is 14890367. The next prime is 14890387. The reversal of 14890368 is 86309841.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14890367) 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, 5388 + ... + 7668.

Almost surely, 214890368 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 14890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20948760).

14890368 is an abundant number, since it is smaller than the sum of its proper divisors (27007152).

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

14890368 is a wasteful number, since it uses less digits than its factorization.

14890368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 14890368 is about 3858.8039597782. The cubic root of 14890368 is about 246.0189026390.

The spelling of 14890368 in words is "fourteen million, eight hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 2281 3264 4562 6528 6843 9124 13686 18248 27372 36496 38777 54744 72992 77554 109488 116331 145984 155108 218976 232662 291968 310216 437952 465324 620432 875904 930648 1240864 1861296 2481728 3722592 4963456 7445184 14890368