Search a number
-
+
14672328 = 23311149373
BaseRepresentation
bin110111111110…
…000111001000
31000121102122120
4313332013020
512224003303
61242251240
7235466316
oct67760710
930542576
1014672328
1183115a0
124ab6b20
133069468
141d3d0b6
15144c553
hexdfe1c8

14672328 has 64 divisors (see below), whose sum is σ = 40392000. Its totient is φ = 4404480.

The previous prime is 14672327. The next prime is 14672341. The reversal of 14672328 is 82327641.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (14672323) 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, 39150 + ... + 39522.

It is an arithmetic number, because the mean of its divisors is an integer number (631125).

Almost surely, 214672328 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 14672328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196000).

14672328 is an abundant number, since it is smaller than the sum of its proper divisors (25719672).

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

14672328 is a wasteful number, since it uses less digits than its factorization.

14672328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 14672328 is about 3830.4474934399. The cubic root of 14672328 is about 244.8121731313.

Adding to 14672328 its reverse (82327641), we get a palindrome (96999969).

The spelling of 14672328 in words is "fourteen million, six hundred seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 149 264 298 373 447 596 746 894 1119 1192 1492 1639 1788 2238 2984 3278 3576 4103 4476 4917 6556 8206 8952 9834 12309 13112 16412 19668 24618 32824 39336 49236 55577 98472 111154 166731 222308 333462 444616 611347 666924 1222694 1333848 1834041 2445388 3668082 4890776 7336164 14672328