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103424400 = 24325228729
BaseRepresentation
bin1100010101000…
…10000110010000
321012121111121100
412022202012100
5202434040100
614132424400
72364043602
oct612420620
9235544540
10103424400
1153420312
122a778100
1318572391
14da43172
15912e400
hex62a2190

103424400 has 90 divisors (see below), whose sum is σ = 358923890. Its totient is φ = 27578880.

The previous prime is 103424383. The next prime is 103424423. The reversal of 103424400 is 4424301.

It can be written as a sum of positive squares in 3 ways, for example, as 3504384 + 99920016 = 1872^2 + 9996^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10765 + ... + 17964.

Almost surely, 2103424400 is an apocalyptic number.

103424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103424400 is an abundant number, since it is smaller than the sum of its proper divisors (255499490).

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

103424400 is a wasteful number, since it uses less digits than its factorization.

103424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28753 (or 28739 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 103424400 is about 10169.7787586555. The cubic root of 103424400 is about 469.3977498174.

Adding to 103424400 its reverse (4424301), we get a palindrome (107848701).

Subtracting from 103424400 its reverse (4424301), we obtain a palindrome (99000099).

The spelling of 103424400 in words is "one hundred three million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 28729 57458 86187 114916 143645 172374 229832 258561 287290 344748 430935 459664 517122 574580 689496 718225 861870 1034244 1149160 1292805 1378992 1436450 1723740 2068488 2154675 2298320 2585610 2872900 3447480 4136976 4309350 5171220 5745800 6464025 6894960 8618700 10342440 11491600 12928050 17237400 20684880 25856100 34474800 51712200 103424400