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103360 = 2651719
BaseRepresentation
bin11001001111000000
312020210011
4121033000
511301420
62114304
7610225
oct311700
9166704
10103360
1170724
124b994
133807a
142994c
152095a
hex193c0

103360 has 56 divisors (see below), whose sum is σ = 274320. Its totient is φ = 36864.

The previous prime is 103357. The next prime is 103387. The reversal of 103360 is 63301.

103360 = T261 + T262 + T263.

It is a self number, because there is not a number n which added to its sum of digits gives 103360.

It is a congruent number.

It is an unprimeable number.

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, 5431 + ... + 5449.

2103360 is an apocalyptic number.

103360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103360 is the 263-rd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137160).

103360 is an abundant number, since it is smaller than the sum of its proper divisors (170960).

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

103360 is a wasteful number, since it uses less digits than its factorization.

103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 103360 is about 321.4965007586. The cubic root of 103360 is about 46.9300301853.

Adding to 103360 its reverse (63301), we get a palindrome (166661).

The spelling of 103360 in words is "one hundred three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 136 152 160 170 190 272 304 320 323 340 380 544 608 646 680 760 1088 1216 1292 1360 1520 1615 2584 2720 3040 3230 5168 5440 6080 6460 10336 12920 20672 25840 51680 103360