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13568148 = 22381147
BaseRepresentation
bin110011110000…
…100010010100
3221112100000000
4303300202110
511433140043
61202451300
7223220166
oct63604224
927470000
1013568148
117727a50
124663b30
132a709b9
141b32936
1512d02d3
hexcf0894

13568148 has 108 divisors (see below), whose sum is σ = 39678912. Its totient is φ = 4024080.

The previous prime is 13568141. The next prime is 13568153. The reversal of 13568148 is 84186531.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13568141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288661 + ... + 288707.

Almost surely, 213568148 is an apocalyptic number.

13568148 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 13568148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839456).

13568148 is an abundant number, since it is smaller than the sum of its proper divisors (26110764).

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

13568148 is an equidigital number, since it uses as much as digits as its factorization.

13568148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 63 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 13568148 is about 3683.4967082923. The cubic root of 13568148 is about 238.5101455278.

The spelling of 13568148 in words is "thirteen million, five hundred sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 81 94 99 108 132 141 162 188 198 243 282 297 324 396 423 486 517 564 594 729 846 891 972 1034 1188 1269 1458 1551 1692 1782 2068 2187 2538 2673 2916 3102 3564 3807 4374 4653 5076 5346 6204 6561 7614 8019 8748 9306 10692 11421 13122 13959 15228 16038 18612 22842 24057 26244 27918 32076 34263 41877 45684 48114 55836 68526 72171 83754 96228 102789 125631 137052 144342 167508 205578 251262 288684 308367 376893 411156 502524 616734 753786 1130679 1233468 1507572 2261358 3392037 4522716 6784074 13568148