Search a number
-
+
13782280 = 235477331
BaseRepresentation
bin110100100100…
…110100001000
3221221012201211
4310210310020
512012013110
61211222504
7225101401
oct64446410
927835654
1013782280
117863916
124747a34
132b172c5
141b8a9a8
15132398a
hexd24d08

13782280 has 32 divisors (see below), whose sum is σ = 31674240. Its totient is φ = 5394880.

The previous prime is 13782269. The next prime is 13782281. The reversal of 13782280 is 8228731.

It is not an unprimeable number, because it can be changed into a prime (13782281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786 + ... + 5545.

It is an arithmetic number, because the mean of its divisors is an integer number (989820).

Almost surely, 213782280 is an apocalyptic number.

13782280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13782280 is an abundant number, since it is smaller than the sum of its proper divisors (17891960).

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

13782280 is a wasteful number, since it uses less digits than its factorization.

13782280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 13782280 is about 3712.4493262535. The cubic root of 13782280 is about 239.7583215278.

The spelling of 13782280 in words is "thirteen million, seven hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 7331 14662 29324 36655 58648 73310 146620 293240 344557 689114 1378228 1722785 2756456 3445570 6891140 13782280