Search a number
-
+
106792268 = 221129127659
BaseRepresentation
bin1100101110110…
…00010101001100
321102221121110012
412113120111030
5204314323033
614332532352
72434501502
oct627302514
9242847405
10106792268
1155310680
122b9210b8
13191812bb
141027c672
159597248
hex65d854c

106792268 has 48 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 46428480.

The previous prime is 106792253. The next prime is 106792271. The reversal of 106792268 is 862297601.

It is a super-2 number, since 2×1067922682 = 22809177009167648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161723 + ... + 162381.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2106792268 is an apocalyptic number.

It is an amenable number.

106792268 is a deficient number, since it is larger than the sum of its proper divisors (106097332).

106792268 is a wasteful number, since it uses less digits than its factorization.

106792268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 106792268 is about 10334.0344493329. The cubic root of 106792268 is about 474.4385136423.

The spelling of 106792268 in words is "one hundred six million, seven hundred ninety-two thousand, two hundred sixty-eight".

Divisors: 1 2 4 11 22 29 44 58 116 127 254 319 508 638 659 1276 1318 1397 2636 2794 3683 5588 7249 7366 14498 14732 19111 28996 38222 40513 76444 81026 83693 162052 167386 210221 334772 420442 840884 920623 1841246 2427097 3682492 4854194 9708388 26698067 53396134 106792268