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30106566 = 2347139191
BaseRepresentation
bin111001011011…
…0001111000110
32002122120110000
41302312033012
530201402231
62553142130
7513621150
oct162661706
962576400
1030106566
1115aa3566
12a0ba946
136311649
143dd9ad0
15299a6e6
hex1cb63c6

30106566 has 80 divisors (see below), whose sum is σ = 78059520. Its totient is φ = 8495280.

The previous prime is 30106543. The next prime is 30106603. The reversal of 30106566 is 66560103.

30106566 is a `hidden beast` number, since 3 + 0 + 1 + 0 + 656 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157531 + ... + 157721.

It is an arithmetic number, because the mean of its divisors is an integer number (975744).

Almost surely, 230106566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30106566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39029760).

30106566 is an abundant number, since it is smaller than the sum of its proper divisors (47952954).

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

30106566 is a wasteful number, since it uses less digits than its factorization.

30106566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 30106566 is about 5486.9450516658. The cubic root of 30106566 is about 311.0907328583.

Adding to 30106566 its reverse (66560103), we get a palindrome (96666669).

The spelling of 30106566 in words is "thirty million, one hundred six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 139 162 189 191 278 378 382 417 567 573 834 973 1134 1146 1251 1337 1719 1946 2502 2674 2919 3438 3753 4011 5157 5838 7506 8022 8757 10314 11259 12033 15471 17514 22518 24066 26271 26549 30942 36099 52542 53098 72198 78813 79647 108297 157626 159294 185843 216594 238941 371686 477882 557529 716823 1115058 1433646 1672587 2150469 3345174 4300938 5017761 10035522 15053283 30106566