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14880340 = 2256112197
BaseRepresentation
bin111000110000…
…111001010100
31000222222222201
4320300321110
512302132330
61250534244
7240323626
oct70607124
930888881
1014880340
118443902
124b97384
133110047
141d94c16
15148deca
hexe30e54

14880340 has 24 divisors (see below), whose sum is σ = 31763592. Its totient is φ = 5854080.

The previous prime is 14880329. The next prime is 14880343. The reversal of 14880340 is 4308841.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 14638276 = 492^2 + 3826^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14880299 and 14880308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14880343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4879 + ... + 7318.

It is an arithmetic number, because the mean of its divisors is an integer number (1323483).

Almost surely, 214880340 is an apocalyptic number.

14880340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14880340 is the 2440-th heptagonal number.

It is an amenable number.

14880340 is an abundant number, since it is smaller than the sum of its proper divisors (16883252).

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

14880340 is a wasteful number, since it uses less digits than its factorization.

14880340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12267 (or 12265 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 14880340 is about 3857.5043745925. The cubic root of 14880340 is about 245.9636626434.

The spelling of 14880340 in words is "fourteen million, eight hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 12197 24394 48788 60985 121970 243940 744017 1488034 2976068 3720085 7440170 14880340