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14213472 = 2537131627
BaseRepresentation
bin110110001110…
…000101100000
3222202010012220
4312032011200
512114312342
61224351040
7231545460
oct66160540
928663186
1014213472
118028879
124915480
132c38650
141c5dba0
1513ab5ec
hexd8e160

14213472 has 96 divisors (see below), whose sum is σ = 45948672. Its totient is φ = 3746304.

The previous prime is 14213461. The next prime is 14213473. The reversal of 14213472 is 27431241.

It is a happy number.

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

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 (14213473) 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, 7923 + ... + 9549.

It is an arithmetic number, because the mean of its divisors is an integer number (478632).

Almost surely, 214213472 is an apocalyptic number.

14213472 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 14213472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22974336).

14213472 is an abundant number, since it is smaller than the sum of its proper divisors (31735200).

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

14213472 is a wasteful number, since it uses less digits than its factorization.

14213472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1652 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 14213472 is about 3770.0758613057. The cubic root of 14213472 is about 242.2330473642.

The spelling of 14213472 in words is "fourteen million, two hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 1627 2184 2912 3254 4368 4881 6508 8736 9762 11389 13016 19524 21151 22778 26032 34167 39048 42302 45556 52064 63453 68334 78096 84604 91112 126906 136668 148057 156192 169208 182224 253812 273336 296114 338416 364448 444171 507624 546672 592228 676832 888342 1015248 1093344 1184456 1776684 2030496 2368912 3553368 4737824 7106736 14213472