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8135424 = 283311107
BaseRepresentation
bin11111000010001100000000
3120022022201000
4133002030000
54040313144
6450212000
7126102303
oct37021400
916268630
108135424
1146572a0
122884000
1318bac7b
14111ab3a
15aaa769
hex7c2300

8135424 has 144 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 2442240.

The previous prime is 8135417. The next prime is 8135429. The reversal of 8135424 is 4245318.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8135429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75979 + ... + 76085.

It is an arithmetic number, because the mean of its divisors is an integer number (183960).

Almost surely, 28135424 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 8135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

8135424 is an abundant number, since it is smaller than the sum of its proper divisors (18354816).

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

8135424 is a wasteful number, since it uses less digits than its factorization.

8135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 8135424 is about 2852.2664672152. The cubic root of 8135424 is about 201.1222246153.

The spelling of 8135424 in words is "eight million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 107 108 128 132 144 176 192 198 214 216 256 264 288 297 321 352 384 396 428 432 528 576 594 642 704 768 792 856 864 963 1056 1152 1177 1188 1284 1408 1584 1712 1728 1926 2112 2304 2354 2376 2568 2816 2889 3168 3424 3456 3531 3852 4224 4708 4752 5136 5778 6336 6848 6912 7062 7704 8448 9416 9504 10272 10593 11556 12672 13696 14124 15408 18832 19008 20544 21186 23112 25344 27392 28248 30816 31779 37664 38016 41088 42372 46224 56496 61632 63558 75328 76032 82176 84744 92448 112992 123264 127116 150656 169488 184896 225984 246528 254232 301312 338976 369792 451968 508464 677952 739584 903936 1016928 1355904 2033856 2711808 4067712 8135424