Search a number
-
+
106649466 = 237111737367
BaseRepresentation
bin1100101101101…
…01011101111010
321102200100120020
412112311131322
5204300240331
614325511310
72433335250
oct626653572
9242610506
10106649466
1155223360
122b872536
13191312c1
14102425d0
159569c96
hex65b577a

106649466 has 128 divisors (see below), whose sum is σ = 289972224. Its totient is φ = 25297920.

The previous prime is 106649441. The next prime is 106649467. The reversal of 106649466 is 664946601.

It is a super-2 number, since 2×1066494662 = 22748217196170312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (106649467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290415 + ... + 290781.

It is an arithmetic number, because the mean of its divisors is an integer number (2265408).

Almost surely, 2106649466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106649466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144986112).

106649466 is an abundant number, since it is smaller than the sum of its proper divisors (183322758).

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

106649466 is a wasteful number, since it uses less digits than its factorization.

106649466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 106649466 is about 10327.1228326190. The cubic root of 106649466 is about 474.2269471716.

The spelling of 106649466 in words is "one hundred six million, six hundred forty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 37 42 51 66 74 77 102 111 119 154 187 222 231 238 259 357 367 374 407 462 518 561 629 714 734 777 814 1101 1122 1221 1258 1309 1554 1887 2202 2442 2569 2618 2849 3774 3927 4037 4403 5138 5698 6239 6919 7707 7854 8074 8547 8806 12111 12478 13209 13579 13838 15414 17094 18717 20757 24222 26418 27158 28259 37434 40737 41514 43673 48433 56518 68629 81474 84777 87346 95053 96866 131019 137258 145299 149369 169554 190106 205887 230843 262038 285159 290598 298738 411774 448107 461686 480403 570318 692529 896214 960806 1045583 1385058 1441209 1615901 2091166 2539273 2882418 3136749 3231802 4847703 5078546 6273498 7617819 9695406 15235638 17774911 35549822 53324733 106649466