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13068648 = 2333173559
BaseRepresentation
bin110001110110…
…100101101000
3220120221211000
4301312211220
511321144043
61144035000
7216040005
oct61664550
926527730
1013068648
11741673a
124462a60
132927538
141a428ac
1512322d3
hexc76968

13068648 has 64 divisors (see below), whose sum is σ = 38448000. Its totient is φ = 4098816.

The previous prime is 13068619. The next prime is 13068661. The reversal of 13068648 is 84686031.

It is a happy number.

13068648 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 8 + 648 = 666.

13068648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1893 + ... + 5451.

It is an arithmetic number, because the mean of its divisors is an integer number (600750).

Almost surely, 213068648 is an apocalyptic number.

13068648 is a gapful number since it is divisible by the number (18) 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 13068648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224000).

13068648 is an abundant number, since it is smaller than the sum of its proper divisors (25379352).

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

13068648 is a wasteful number, since it uses less digits than its factorization.

13068648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 13068648 is about 3615.0585057506. The cubic root of 13068648 is about 235.5466255201.

The spelling of 13068648 in words is "thirteen million, sixty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3559 3672 7118 10677 14236 21354 28472 32031 42708 60503 64062 85416 96093 121006 128124 181509 192186 242012 256248 363018 384372 484024 544527 726036 768744 1089054 1452072 1633581 2178108 3267162 4356216 6534324 13068648