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14802640 = 245414513
BaseRepresentation
bin111000011101…
…111011010000
31000212001101221
4320131323100
512242141030
61245134424
7236551246
oct70357320
930761357
1014802640
1183a0496
124b5a414
1330b3878
141d74796
151475e7a
hexe1ded0

14802640 has 40 divisors (see below), whose sum is σ = 35263368. Its totient is φ = 5775360.

The previous prime is 14802637. The next prime is 14802649. The reversal of 14802640 is 4620841.

It can be written as a sum of positive squares in 4 ways, for example, as 1669264 + 13133376 = 1292^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14802649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1024 + ... + 5536.

Almost surely, 214802640 is an apocalyptic number.

14802640 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 14802640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631684).

14802640 is an abundant number, since it is smaller than the sum of its proper divisors (20460728).

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

14802640 is a wasteful number, since it uses less digits than its factorization.

14802640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 14802640 is about 3847.4199146961. The cubic root of 14802640 is about 245.5348028692.

The spelling of 14802640 in words is "fourteen million, eight hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 4513 9026 18052 22565 36104 45130 72208 90260 180520 185033 361040 370066 740132 925165 1480264 1850330 2960528 3700660 7401320 14802640