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14435040 = 2535172961
BaseRepresentation
bin110111000100…
…001011100000
31000011101011010
4313010023200
512143410130
61233220520
7233460444
oct67041340
930141133
1014435040
11816a294
124a01740
132cb5459
141cba824
1514020b0
hexdc42e0

14435040 has 192 divisors, whose sum is σ = 50621760. Its totient is φ = 3440640.

The previous prime is 14435039. The next prime is 14435059. The reversal of 14435040 is 4053441.

It is a junction number, because it is equal to n+sod(n) for n = 14434998 and 14435016.

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, 236610 + ... + 236670.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 214435040 is an apocalyptic number.

14435040 is a gapful number since it is divisible by the number (10) 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 14435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310880).

14435040 is an abundant number, since it is smaller than the sum of its proper divisors (36186720).

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

14435040 is a wasteful number, since it uses less digits than its factorization.

14435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 14435040 is about 3799.3473123683. The cubic root of 14435040 is about 243.4852536442.

Adding to 14435040 its reverse (4053441), we get a palindrome (18488481).

The spelling of 14435040 in words is "fourteen million, four hundred thirty-five thousand, forty".