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82536030 = 23352983127
BaseRepresentation
bin1001110101101…
…10011001011110
312202022021011000
410322312121132
5132112123110
612105011130
72021354553
oct472663136
9182267130
1082536030
11426535a5
1223783aa6
131413a7b5
14ad66a2a
1573a51c0
hex4eb665e

82536030 has 128 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 20829312.

The previous prime is 82536023. The next prime is 82536053. The reversal of 82536030 is 3063528.

82536030 is a `hidden beast` number, since 8 + 2 + 53 + 603 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82535985 and 82536003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649827 + ... + 649953.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 282536030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82536030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

82536030 is an abundant number, since it is smaller than the sum of its proper divisors (149707170).

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

82536030 is a wasteful number, since it uses less digits than its factorization.

82536030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 82536030 is about 9084.9342320129. The cubic root of 82536030 is about 435.3927487402.

Adding to 82536030 its reverse (3063528), we get a palindrome (85599558).

The spelling of 82536030 in words is "eighty-two million, five hundred thirty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 83 87 90 127 135 145 166 174 249 254 261 270 290 381 415 435 498 522 635 747 762 783 830 870 1143 1245 1270 1305 1494 1566 1905 2241 2286 2407 2490 2610 3429 3683 3735 3810 3915 4482 4814 5715 6858 7221 7366 7470 7830 10541 11049 11205 11430 12035 14442 17145 18415 21082 21663 22098 22410 24070 31623 33147 34290 36105 36830 43326 52705 55245 63246 64989 66294 72210 94869 99441 105410 108315 110490 129978 158115 165735 189738 198882 216630 284607 305689 316230 324945 331470 474345 497205 569214 611378 649890 917067 948690 994410 1423035 1528445 1834134 2751201 2846070 3056890 4585335 5502402 8253603 9170670 13756005 16507206 27512010 41268015 82536030