Search a number
-
+
104134400 = 285253307
BaseRepresentation
bin1100011010011…
…11011100000000
321020221120112122
412031033130000
5203124300100
614155543412
72403061556
oct615173400
9236846478
10104134400
1153865797
122aa5ab68
13187605b6
14db89bd6
15921e985
hex634f700

104134400 has 108 divisors (see below), whose sum is σ = 263467512. Its totient is φ = 40734720.

The previous prime is 104134379. The next prime is 104134439. The reversal of 104134400 is 4431401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339047 + ... + 339353.

It is an arithmetic number, because the mean of its divisors is an integer number (2439514).

Almost surely, 2104134400 is an apocalyptic number.

104134400 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 104134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131733756).

104134400 is an abundant number, since it is smaller than the sum of its proper divisors (159333112).

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

104134400 is an equidigital number, since it uses as much as digits as its factorization.

104134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 104134400 is about 10204.6264017846. The cubic root of 104134400 is about 470.4694268700.

Adding to 104134400 its reverse (4431401), we get a palindrome (108565801).

The spelling of 104134400 in words is "one hundred four million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 128 160 200 212 256 265 307 320 400 424 530 614 640 800 848 1060 1228 1280 1325 1535 1600 1696 2120 2456 2650 3070 3200 3392 4240 4912 5300 6140 6400 6784 7675 8480 9824 10600 12280 13568 15350 16271 16960 19648 21200 24560 30700 32542 33920 39296 42400 49120 61400 65084 67840 78592 81355 84800 98240 122800 130168 162710 169600 196480 245600 260336 325420 339200 392960 406775 491200 520672 650840 813550 982400 1041344 1301680 1627100 1964800 2082688 2603360 3254200 4165376 5206720 6508400 10413440 13016800 20826880 26033600 52067200 104134400