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103480 = 23513199
BaseRepresentation
bin11001010000111000
312020221121
4121100320
511302410
62115024
7610456
oct312070
9166847
10103480
1170823
124ba74
1338140
14299d6
15209da
hex19438

103480 has 32 divisors (see below), whose sum is σ = 252000. Its totient is φ = 38016.

The previous prime is 103471. The next prime is 103483. The reversal of 103480 is 84301.

103480 = T51 + T52 + ... + T90.

It is a super-2 number, since 2×1034802 = 21416220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421 + ... + 619.

It is an arithmetic number, because the mean of its divisors is an integer number (7875).

2103480 is an apocalyptic number.

103480 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 103480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000).

103480 is an abundant number, since it is smaller than the sum of its proper divisors (148520).

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

103480 is a wasteful number, since it uses less digits than its factorization.

103480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 103480 is about 321.6830738475. The cubic root of 103480 is about 46.9481849377.

Adding to 103480 its reverse (84301), we get a palindrome (187781).

The spelling of 103480 in words is "one hundred three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 199 260 398 520 796 995 1592 1990 2587 3980 5174 7960 10348 12935 20696 25870 51740 103480