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14672112 = 2437133359
BaseRepresentation
bin110111111110…
…000011110000
31000121102100120
4313332003300
512224001422
61242250240
7235465560
oct67760360
930542316
1014672112
118311414
124ab6980
133069330
141d3cda0
15144c45c
hexdfe0f0

14672112 has 80 divisors (see below), whose sum is σ = 46663680. Its totient is φ = 3868416.

The previous prime is 14672111. The next prime is 14672113. The reversal of 14672112 is 21127641.

It is an interprime number because it is at equal distance from previous prime (14672111) and next prime (14672113).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14672111) 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, 2689 + ... + 6047.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 214672112 is an apocalyptic number.

14672112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14672112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331840).

14672112 is an abundant number, since it is smaller than the sum of its proper divisors (31991568).

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

14672112 is a wasteful number, since it uses less digits than its factorization.

14672112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3384 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 14672112 is about 3830.4192981970. The cubic root of 14672112 is about 244.8109717839.

Adding to 14672112 its reverse (21127641), we get a palindrome (35799753).

The spelling of 14672112 in words is "fourteen million, six hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 3359 4368 6718 10077 13436 20154 23513 26872 40308 43667 47026 53744 70539 80616 87334 94052 131001 141078 161232 174668 188104 262002 282156 305669 349336 376208 524004 564312 611338 698672 917007 1048008 1128624 1222676 1834014 2096016 2445352 3668028 4890704 7336056 14672112