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103400 = 23521147
BaseRepresentation
bin11001001111101000
312020211122
4121033220
511302100
62114412
7610313
oct311750
9166748
10103400
1170760
124ba08
13380ab
142997a
1520985
hex193e8

103400 has 48 divisors (see below), whose sum is σ = 267840. Its totient is φ = 36800.

The previous prime is 103399. The next prime is 103409. The reversal of 103400 is 4301.

Adding to 103400 its reverse (4301), we get a palindrome (107701).

Subtracting from 103400 its reverse (4301), we obtain a palindrome (99099).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (103409) 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, 2177 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2103400 is an apocalyptic number.

103400 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 103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

103400 is an abundant number, since it is smaller than the sum of its proper divisors (164440).

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

103400 is a wasteful number, since it uses less digits than its factorization.

103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 103400 is about 321.5587038163. The cubic root of 103400 is about 46.9360833300.

The spelling of 103400 in words is "one hundred three thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20680 25850 51700 103400