Search a number
-
+
103258840 = 235532919
BaseRepresentation
bin1100010011110…
…01101011011000
321012022002111111
412021321223120
5202413240330
614125110104
72362454116
oct611715330
9235262444
10103258840
1153317993
122a6b8334
1318514c09
14d9dcab6
1590ea32a
hex6279ad8

103258840 has 48 divisors (see below), whose sum is σ = 237056400. Its totient is φ = 40480128.

The previous prime is 103258829. The next prime is 103258849. The reversal of 103258840 is 48852301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103258849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111901 + ... + 112819.

It is an arithmetic number, because the mean of its divisors is an integer number (4938675).

Almost surely, 2103258840 is an apocalyptic number.

103258840 is a gapful number since it is divisible by the number (10) 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 103258840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118528200).

103258840 is an abundant number, since it is smaller than the sum of its proper divisors (133797560).

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

103258840 is an equidigital number, since it uses as much as digits as its factorization.

103258840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 103258840 is about 10161.6356951034. The cubic root of 103258840 is about 469.1471481030.

The spelling of 103258840 in words is "one hundred three million, two hundred fifty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 919 1060 1838 2120 2809 3676 4595 5618 7352 9190 11236 14045 18380 22472 28090 36760 48707 56180 97414 112360 194828 243535 389656 487070 974140 1948280 2581471 5162942 10325884 12907355 20651768 25814710 51629420 103258840