Search a number
-
+
108781128 = 233283109167
BaseRepresentation
bin1100111101111…
…01111001001000
321120200122122200
412132331321020
5210321444003
614443320200
72460424101
oct636757110
9246618580
10108781128
1156449965
1230520060
13196c9641
14106393a8
15983b6a3
hex67bde48

108781128 has 96 divisors (see below), whose sum is σ = 302702400. Its totient is φ = 35282304.

The previous prime is 108781121. The next prime is 108781163. The reversal of 108781128 is 821187801.

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

It is a junction number, because it is equal to n+sod(n) for n = 108781092 and 108781101.

It is not an unprimeable number, because it can be changed into a prime (108781121) 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, 651301 + ... + 651467.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 2108781128 is an apocalyptic number.

108781128 is a gapful number since it is divisible by the number (18) 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 108781128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151351200).

108781128 is an abundant number, since it is smaller than the sum of its proper divisors (193921272).

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

108781128 is a wasteful number, since it uses less digits than its factorization.

108781128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 108781128 is about 10429.8191738879. The cubic root of 108781128 is about 477.3656729508.

It can be divided in two parts, 1087 and 81128, that added together give a triangular number (82215 = T405).

The spelling of 108781128 in words is "one hundred eight million, seven hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 109 166 167 218 249 327 332 334 436 498 501 654 664 668 747 872 981 996 1002 1308 1336 1494 1503 1962 1992 2004 2616 2988 3006 3924 4008 5976 6012 7848 9047 12024 13861 18094 18203 27141 27722 36188 36406 41583 54282 54609 55444 72376 72812 81423 83166 108564 109218 110888 124749 145624 162846 163827 166332 217128 218436 249498 325692 327654 332664 436872 498996 651384 655308 997992 1310616 1510849 3021698 4532547 6043396 9065094 12086792 13597641 18130188 27195282 36260376 54390564 108781128