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13068048 = 2437192389
BaseRepresentation
bin110001110110…
…011100010000
3220120220222210
4301312130100
511321134143
61144032120
7216035160
oct61663420
926526883
1013068048
117416244
124462640
132927196
141a425a0
151232033
hexc76710

13068048 has 160 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 3345408.

The previous prime is 13068043. The next prime is 13068073. The reversal of 13068048 is 84086031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13068043) 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 31 ways as a sum of consecutive naturals, for example, 146788 + ... + 146876.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 213068048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13068048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

13068048 is an abundant number, since it is smaller than the sum of its proper divisors (29786352).

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

13068048 is a wasteful number, since it uses less digits than its factorization.

13068048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13068048 is about 3614.9755185893. The cubic root of 13068048 is about 235.5430207061.

The spelling of 13068048 in words is "thirteen million, sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 38 42 46 48 56 57 69 76 84 89 92 112 114 133 138 152 161 168 178 184 228 266 267 276 304 322 336 356 368 399 437 456 483 532 534 552 623 644 712 798 874 912 966 1064 1068 1104 1246 1288 1311 1424 1596 1691 1748 1869 1932 2047 2128 2136 2492 2576 2622 3059 3192 3382 3496 3738 3864 4094 4272 4984 5073 5244 6118 6141 6384 6764 6992 7476 7728 8188 9177 9968 10146 10488 11837 12236 12282 13528 14329 14952 16376 18354 20292 20976 23674 24472 24564 27056 28658 29904 32752 35511 36708 38893 40584 42987 47348 48944 49128 57316 71022 73416 77786 81168 85974 94696 98256 114632 116679 142044 146832 155572 171948 189392 229264 233358 272251 284088 311144 343896 466716 544502 568176 622288 687792 816753 933432 1089004 1633506 1866864 2178008 3267012 4356016 6534024 13068048