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108380142 = 232131921283
BaseRepresentation
bin1100111010110…
…11111111101110
321112221021121100
412131123333232
5210221131032
614430543530
72454134043
oct635337756
9245837540
10108380142
11561a5672
1230367ba6
13195b8c80
14105731ca
1597ac97c
hex675bfee

108380142 has 72 divisors (see below), whose sum is σ = 267105384. Its totient is φ = 31567968.

The previous prime is 108380119. The next prime is 108380143. The reversal of 108380142 is 241083801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108380143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83833 + ... + 85115.

It is an arithmetic number, because the mean of its divisors is an integer number (3709797).

Almost surely, 2108380142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108380142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133552692).

108380142 is an abundant number, since it is smaller than the sum of its proper divisors (158725242).

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

108380142 is a wasteful number, since it uses less digits than its factorization.

108380142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108380142 is about 10410.5783701003. The cubic root of 108380142 is about 476.7784000273.

It can be divided in two parts, 1083 and 80142, that added together give a square (81225 = 2852).

The spelling of 108380142 in words is "one hundred eight million, three hundred eighty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 361 494 722 741 1083 1283 1482 2166 2223 2566 3249 3849 4446 4693 6498 7698 9386 11547 14079 16679 23094 24377 28158 33358 42237 48754 50037 73131 84474 100074 146262 150111 219393 300222 316901 438786 463163 633802 926326 950703 1389489 1901406 2778978 2852109 4168467 5704218 6021119 8336934 12042238 18063357 36126714 54190071 108380142