Search a number
-
+
106754076 = 2232111389233
BaseRepresentation
bin1100101110011…
…11000000011100
321102212200001200
412113033000130
5204312112301
614332035500
72434252242
oct627170034
9242780050
10106754076
1155294a10
122b902b90
1319169ac0
141026c792
15958ac86
hex65cf01c

106754076 has 144 divisors (see below), whose sum is σ = 321965280. Its totient is φ = 29399040.

The previous prime is 106754057. The next prime is 106754093. The reversal of 106754076 is 670457601.

106754076 is a `hidden beast` number, since 106 + 7 + 540 + 7 + 6 = 666.

It is a super-2 number, since 2×1067540762 = 22792865485227552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106754076.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 458056 + ... + 458288.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2106754076 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 106754076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

106754076 is an abundant number, since it is smaller than the sum of its proper divisors (215211204).

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

106754076 is a wasteful number, since it uses less digits than its factorization.

106754076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 106754076 is about 10332.1864094682. The cubic root of 106754076 is about 474.3819492595.

The spelling of 106754076 in words is "one hundred six million, seven hundred fifty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 89 99 117 132 143 156 178 198 233 234 267 286 356 396 429 466 468 534 572 699 801 858 932 979 1068 1157 1287 1398 1602 1716 1958 2097 2314 2563 2574 2796 2937 3029 3204 3471 3916 4194 4628 5126 5148 5874 6058 6942 7689 8388 8811 9087 10252 10413 11748 12116 12727 13884 15378 17622 18174 20737 20826 23067 25454 27261 30756 33319 35244 36348 38181 41474 41652 46134 50908 54522 62211 66638 76362 82948 92268 99957 109044 114543 124422 133276 152724 186633 199914 228107 229086 248844 269581 299871 373266 399828 456214 458172 539162 599742 684321 746532 808743 912428 1078324 1199484 1368642 1617486 2052963 2426229 2737284 2965391 3234972 4105926 4852458 5930782 8211852 8896173 9704916 11861564 17792346 26688519 35584692 53377038 106754076