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14023152 = 24331113227
BaseRepresentation
bin110101011111…
…100111110000
3222101110011000
4311133213300
512042220102
61220322000
7230123553
oct65374760
928343130
1014023152
117a08890
124843300
132b9cb30
141c1069a
15137001c
hexd5f9f0

14023152 has 160 divisors (see below), whose sum is σ = 47496960. Its totient is φ = 3905280.

The previous prime is 14023073. The next prime is 14023171. The reversal of 14023152 is 25132041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61663 + ... + 61889.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 214023152 is an apocalyptic number.

14023152 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 14023152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

14023152 is an abundant number, since it is smaller than the sum of its proper divisors (33473808).

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

14023152 is a wasteful number, since it uses less digits than its factorization.

14023152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14023152 is about 3744.7499248949. The cubic root of 14023152 is about 241.1470094724.

Adding to 14023152 its reverse (25132041), we get a palindrome (39155193).

Subtracting 14023152 from its reverse (25132041), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1402 and 3152, that added together give a palindrome (4554).

The spelling of 14023152 in words is "fourteen million, twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 227 234 264 286 297 312 351 396 429 432 454 468 528 572 594 624 681 702 792 858 908 936 1144 1188 1287 1362 1404 1584 1716 1816 1872 2043 2288 2376 2497 2574 2724 2808 2951 3432 3632 3861 4086 4752 4994 5148 5448 5616 5902 6129 6864 7491 7722 8172 8853 9988 10296 10896 11804 12258 14982 15444 16344 17706 19976 20592 22473 23608 24516 26559 29964 30888 32461 32688 35412 39952 44946 47216 49032 53118 59928 61776 64922 67419 70824 79677 89892 97383 98064 106236 119856 129844 134838 141648 159354 179784 194766 212472 259688 269676 292149 318708 359568 389532 424944 519376 539352 584298 637416 779064 876447 1078704 1168596 1274832 1558128 1752894 2337192 3505788 4674384 7011576 14023152