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14041152 = 2632191283
BaseRepresentation
bin110101100100…
…000001000000
3222102100211200
4311210001000
512043304102
61220541200
7230230206
oct65440100
928370750
1014041152
117a20364
124851800
132ba8098
141c17076
15137551c
hexd64040

14041152 has 84 divisors (see below), whose sum is σ = 42397680. Its totient is φ = 4430592.

The previous prime is 14041151. The next prime is 14041207. The reversal of 14041152 is 25114041.

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

It is not an unprimeable number, because it can be changed into a prime (14041151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10303 + ... + 11585.

Almost surely, 214041152 is an apocalyptic number.

14041152 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 14041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21198840).

14041152 is an abundant number, since it is smaller than the sum of its proper divisors (28356528).

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

14041152 is a wasteful number, since it uses less digits than its factorization.

14041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 14041152 is about 3747.1525189135. The cubic root of 14041152 is about 241.2501434490.

Adding to 14041152 its reverse (25114041), we get a palindrome (39155193).

It can be divided in two parts, 1404 and 1152, that added together give a triangular number (2556 = T71).

The spelling of 14041152 in words is "fourteen million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1283 1368 1824 2566 2736 3648 3849 5132 5472 7698 10264 10944 11547 15396 20528 23094 24377 30792 41056 46188 48754 61584 73131 82112 92376 97508 123168 146262 184752 195016 219393 246336 292524 369504 390032 438786 585048 739008 780064 877572 1170096 1560128 1755144 2340192 3510288 4680384 7020576 14041152