Search a number
-
+
103480480 = 255312673
BaseRepresentation
bin1100010101011…
…11110010100000
321012201100112101
412022233302200
5202442333410
614133540144
72364366235
oct612576240
9235640471
10103480480
1153459464
122a7a4654
1318591a6c
14da5978c
159140d3a
hex62afca0

103480480 has 72 divisors (see below), whose sum is σ = 252988596. Its totient is φ = 39997440.

The previous prime is 103480471. The next prime is 103480483. The reversal of 103480480 is 84084301.

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 2598544 = 10044^2 + 1612^2 .

It is not an unprimeable number, because it can be changed into a prime (103480483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153424 + ... + 154096.

Almost surely, 2103480480 is an apocalyptic number.

103480480 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 103480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126494298).

103480480 is an abundant number, since it is smaller than the sum of its proper divisors (149508116).

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

103480480 is an equidigital number, since it uses as much as digits as its factorization.

103480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 103480480 is about 10172.5355737889. The cubic root of 103480480 is about 469.4825752853.

The spelling of 103480480 in words is "one hundred three million, four hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 673 961 992 1240 1346 1922 2480 2692 3365 3844 4805 4960 5384 6730 7688 9610 10768 13460 15376 19220 20863 21536 26920 30752 38440 41726 53840 76880 83452 104315 107680 153760 166904 208630 333808 417260 646753 667616 834520 1293506 1669040 2587012 3233765 3338080 5174024 6467530 10348048 12935060 20696096 25870120 51740240 103480480