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14082432 = 273713231
BaseRepresentation
bin110101101110…
…000110000000
3222111110110120
4311232012000
512101114212
61221500240
7230461440
oct65560600
928443416
1014082432
117a49381
124871680
132bc0b00
141c28120
15138288c
hexd6e180

14082432 has 192 divisors, whose sum is σ = 47784960. Its totient is φ = 3594240.

The previous prime is 14082427. The next prime is 14082433. The reversal of 14082432 is 23428041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14082433) 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, 454257 + ... + 454287.

It is an arithmetic number, because the mean of its divisors is an integer number (248880).

Almost surely, 214082432 is an apocalyptic number.

14082432 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 14082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23892480).

14082432 is an abundant number, since it is smaller than the sum of its proper divisors (33702528).

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

14082432 is a wasteful number, since it uses less digits than its factorization.

14082432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14082432 is about 3752.6566589551. The cubic root of 14082432 is about 241.4863316296.

The spelling of 14082432 in words is "fourteen million, eighty-two thousand, four hundred thirty-two".