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14392368 = 2432891123
BaseRepresentation
bin110110111001…
…110000110000
31000002012121200
4312321300300
512141023433
61232251200
7233222154
oct66716060
930065550
1014392368
118140221
1249a0b00
132c9bbc3
141ca9064
1513e4613
hexdb9c30

14392368 has 60 divisors (see below), whose sum is σ = 40767480. Its totient is φ = 4739328.

The previous prime is 14392363. The next prime is 14392393. The reversal of 14392368 is 86329341.

14392368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (14392361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12255 + ... + 13377.

It is an arithmetic number, because the mean of its divisors is an integer number (679458).

Almost surely, 214392368 is an apocalyptic number.

14392368 is a gapful number since it is divisible by the number (18) 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 14392368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383740).

14392368 is an abundant number, since it is smaller than the sum of its proper divisors (26375112).

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

14392368 is a wasteful number, since it uses less digits than its factorization.

14392368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1217 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 14392368 is about 3793.7274546282. The cubic root of 14392368 is about 243.2450913333.

The spelling of 14392368 in words is "fourteen million, three hundred ninety-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1123 1424 1602 2136 2246 3204 3369 4272 4492 6408 6738 8984 10107 12816 13476 17968 20214 26952 40428 53904 80856 99947 161712 199894 299841 399788 599682 799576 899523 1199364 1599152 1799046 2398728 3598092 4797456 7196184 14392368