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82183068 = 223211377179
BaseRepresentation
bin1001110011000…
…00001110011100
312201122022222100
410321200032130
5132014324233
612053245100
72015354532
oct471401634
9181568870
1082183068
11424323a0
1223633790
1314045c46
14acb4152
157335813
hex4e6039c

82183068 has 144 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 23587200.

The previous prime is 82183051. The next prime is 82183091. The reversal of 82183068 is 86038128.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040253 + ... + 1040331.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 282183068 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 82183068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

82183068 is an abundant number, since it is smaller than the sum of its proper divisors (156833892).

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

82183068 is a wasteful number, since it uses less digits than its factorization.

82183068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82183068 is about 9065.4877419806. The cubic root of 82183068 is about 434.7712154052.

The spelling of 82183068 in words is "eighty-two million, one hundred eighty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 71 74 79 99 111 132 142 148 158 198 213 222 237 284 316 333 396 407 426 444 474 639 666 711 781 814 852 869 948 1221 1278 1332 1422 1562 1628 1738 2343 2442 2556 2607 2627 2844 2923 3124 3476 3663 4686 4884 5214 5254 5609 5846 7029 7326 7821 7881 8769 9372 10428 10508 11218 11692 14058 14652 15642 15762 16827 17538 22436 23643 26307 28116 28897 31284 31524 32153 33654 35076 47286 50481 52614 57794 61699 64306 67308 86691 94572 96459 100962 105228 115588 123398 128612 173382 185097 192918 201924 207533 246796 260073 289377 346764 370194 385836 415066 520146 555291 578754 622599 740388 830132 1040292 1110582 1157508 1245198 1867797 2221164 2282863 2490396 3735594 4565726 6848589 7471188 9131452 13697178 20545767 27394356 41091534 82183068