Search a number
-
+
106062528 = 26311133863
BaseRepresentation
bin1100101001001…
…10001011000000
321101120112102210
412110212023000
5204123000103
614305142120
72425342125
oct624461300
9241515383
10106062528
1154962390
122b62a940
1318c870c0
141012c74c
1594a0e03
hex65262c0

106062528 has 112 divisors (see below), whose sum is σ = 329769216. Its totient is φ = 29660160.

The previous prime is 106062497. The next prime is 106062529. The reversal of 106062528 is 825260601.

It is a super-2 number, since 2×1060625282 = 22498519691501568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106062495 and 106062504.

It is not an unprimeable number, because it can be changed into a prime (106062529) 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, 25525 + ... + 29387.

It is an arithmetic number, because the mean of its divisors is an integer number (2944368).

Almost surely, 2106062528 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 106062528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164884608).

106062528 is an abundant number, since it is smaller than the sum of its proper divisors (223706688).

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

106062528 is a wasteful number, since it uses less digits than its factorization.

106062528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106062528 is about 10298.6663214224. Note that the first 3 decimals coincide. The cubic root of 106062528 is about 473.3553878943.

The spelling of 106062528 in words is "one hundred six million, sixty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 3863 4576 6864 7726 9152 11589 13728 15452 23178 27456 30904 42493 46356 50219 61808 84986 92712 100438 123616 127479 150657 169972 185424 200876 247232 254958 301314 339944 370848 401752 509916 552409 602628 679888 741696 803504 1019832 1104818 1205256 1359776 1607008 1657227 2039664 2209636 2410512 2719552 3214016 3314454 4079328 4419272 4821024 6628908 8158656 8838544 9642048 13257816 17677088 26515632 35354176 53031264 106062528