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103824050 = 2521121312
BaseRepresentation
bin1100011000000…
…11101010110010
321020100210211012
412030003222302
5203034332200
614145150522
72400330011
oct614035262
9236323735
10103824050
1153673600
122a92b442
1318682265
14db08a78
1591aca35
hex6303ab2

103824050 has 54 divisors (see below), whose sum is σ = 213897117. Its totient is φ = 37466000.

The previous prime is 103824041. The next prime is 103824121. The reversal of 103824050 is 50428301.

It can be written as a sum of positive squares in 2 ways, for example, as 101747569 + 2076481 = 10087^2 + 1441^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7205.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 792485 + ... + 792615.

Almost surely, 2103824050 is an apocalyptic number.

103824050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103824050 is an abundant number, since it is smaller than the sum of its proper divisors (110073067).

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

103824050 is a wasteful number, since it uses less digits than its factorization.

103824050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 103824050 is about 10189.4087168981. The cubic root of 103824050 is about 470.0015844220.

The spelling of 103824050 in words is "one hundred three million, eight hundred twenty-four thousand, fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 121 131 242 262 275 550 605 655 1210 1310 1441 2882 3025 3275 6050 6550 7205 14410 15851 17161 31702 34322 36025 72050 79255 85805 158510 171610 188771 377542 396275 429025 792550 858050 943855 1887710 2076481 4152962 4719275 9438550 10382405 20764810 51912025 103824050