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13384640 = 265151277
BaseRepresentation
bin110011000011…
…101111000000
3221012000021102
4303003233000
511411302030
61154513532
7221524163
oct63035700
927160242
1013384640
117612095
1245958a8
132a08309
141ac5ada
151295c45
hexcc3bc0

13384640 has 56 divisors (see below), whose sum is σ = 32199072. Its totient is φ = 5299200.

The previous prime is 13384583. The next prime is 13384649. The reversal of 13384640 is 4648331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13384649) 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, 48182 + ... + 48458.

Almost surely, 213384640 is an apocalyptic number.

13384640 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 13384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099536).

13384640 is an abundant number, since it is smaller than the sum of its proper divisors (18814432).

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

13384640 is a wasteful number, since it uses less digits than its factorization.

13384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 13384640 is about 3658.5024258568. The cubic root of 13384640 is about 237.4299849017.

The spelling of 13384640 in words is "thirteen million, three hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 151 160 277 302 320 554 604 755 1108 1208 1385 1510 2216 2416 2770 3020 4432 4832 5540 6040 8864 9664 11080 12080 17728 22160 24160 41827 44320 48320 83654 88640 167308 209135 334616 418270 669232 836540 1338464 1673080 2676928 3346160 6692320 13384640