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14383152 = 2432719751
BaseRepresentation
bin110110110111…
…100000110000
31000001201222100
4312313200300
512140230102
61232140400
7233153250
oct66674060
930051870
1014383152
118134303
124997700
132c97954
141ca5960
1513e1a1c
hexdb7830

14383152 has 120 divisors (see below), whose sum is σ = 48488960. Its totient is φ = 3888000.

The previous prime is 14383151. The next prime is 14383177. The reversal of 14383152 is 25138341.

It is a happy number.

14383152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143831522 = 413750122910208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14383151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18777 + ... + 19527.

Almost surely, 214383152 is an apocalyptic number.

14383152 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 14383152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24244480).

14383152 is an abundant number, since it is smaller than the sum of its proper divisors (34105808).

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

14383152 is a wasteful number, since it uses less digits than its factorization.

14383152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 782 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 14383152 is about 3792.5126235782. The cubic root of 14383152 is about 243.1931604436.

It can be divided in two parts, 14383 and 152, that added together give a triangular number (14535 = T170).

The spelling of 14383152 in words is "fourteen million, three hundred eighty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 751 798 912 1008 1064 1197 1368 1502 1596 2128 2253 2394 2736 3004 3192 4506 4788 5257 6008 6384 6759 9012 9576 10514 12016 13518 14269 15771 18024 19152 21028 27036 28538 31542 36048 42056 42807 47313 54072 57076 63084 84112 85614 94626 99883 108144 114152 126168 128421 171228 189252 199766 228304 252336 256842 299649 342456 378504 399532 513684 599298 684912 757008 799064 898947 1027368 1198596 1598128 1797894 2054736 2397192 3595788 4794384 7191576 14383152