Search a number
-
+
107159112 = 2335199277
BaseRepresentation
bin1100110001100…
…01111001001000
321110122020200000
412120301321020
5204413042422
614344443000
72440560144
oct630617110
9243566600
10107159112
1155541255
122ba79460
131927c278
1410336224
15961acac
hex6631e48

107159112 has 96 divisors (see below), whose sum is σ = 303576000. Its totient is φ = 35411904.

The previous prime is 107159083. The next prime is 107159119. The reversal of 107159112 is 211951701.

107159112 is a `hidden beast` number, since 1 + 0 + 71 + 591 + 1 + 2 = 666.

It is a super-2 number, since 2×1071591122 = 22966150569257088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107159119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386718 + ... + 386994.

It is an arithmetic number, because the mean of its divisors is an integer number (3162250).

Almost surely, 2107159112 is an apocalyptic number.

107159112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107159112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151788000).

107159112 is an abundant number, since it is smaller than the sum of its proper divisors (196416888).

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

107159112 is a wasteful number, since it uses less digits than its factorization.

107159112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 107159112 is about 10351.7685445531. The cubic root of 107159112 is about 474.9811434804.

The spelling of 107159112 in words is "one hundred seven million, one hundred fifty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 199 216 243 277 324 398 486 554 597 648 796 831 972 1108 1194 1592 1662 1791 1944 2216 2388 2493 3324 3582 4776 4986 5373 6648 7164 7479 9972 10746 14328 14958 16119 19944 21492 22437 29916 32238 42984 44874 48357 55123 59832 64476 67311 89748 96714 110246 128952 134622 165369 179496 193428 220492 269244 330738 386856 440984 496107 538488 661476 992214 1322952 1488321 1984428 2976642 3968856 4464963 5953284 8929926 11906568 13394889 17859852 26789778 35719704 53579556 107159112