Search a number
-
+
107090718 = 237171271181
BaseRepresentation
bin1100110001000…
…01001100011110
321110111202211220
412120201030132
5204403400333
614343154210
72440153560
oct630411436
9243452756
10107090718
11554a4929
122ba45966
13192570b7
1410319330
1596058b3
hex662131e

107090718 has 64 divisors (see below), whose sum is σ = 261439488. Its totient is φ = 28546560.

The previous prime is 107090717. The next prime is 107090749. The reversal of 107090718 is 817090701.

It is a super-2 number, since 2×1070907182 = 22936843763511048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107090717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90088 + ... + 91268.

It is an arithmetic number, because the mean of its divisors is an integer number (4084992).

Almost surely, 2107090718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107090718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130719744).

107090718 is an abundant number, since it is smaller than the sum of its proper divisors (154348770).

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

107090718 is a wasteful number, since it uses less digits than its factorization.

107090718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337.

The product of its (nonzero) digits is 3528, while the sum is 33.

The square root of 107090718 is about 10348.4645237832. The cubic root of 107090718 is about 474.8800701839.

The spelling of 107090718 in words is "one hundred seven million, ninety thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 127 238 254 357 381 714 762 889 1181 1778 2159 2362 2667 3543 4318 5334 6477 7086 8267 12954 15113 16534 20077 24801 30226 40154 45339 49602 60231 90678 120462 140539 149987 281078 299974 421617 449961 843234 899922 1049909 2099818 2549779 3149727 5099558 6299454 7649337 15298674 17848453 35696906 53545359 107090718