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103460200 = 2352975333
BaseRepresentation
bin1100010101010…
…10110101101000
321012200022201021
412022222311220
5202441211300
614133302224
72364253144
oct612526550
9235608637
10103460200
11534451a8
122a794974
131858576c
14da52224
159139d1a
hex62aad68

103460200 has 48 divisors (see below), whose sum is σ = 243070380. Its totient is φ = 40949760.

The previous prime is 103460191. The next prime is 103460221. The reversal of 103460200 is 2064301.

It can be written as a sum of positive squares in 6 ways, for example, as 71673156 + 31787044 = 8466^2 + 5638^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16734 + ... + 22066.

Almost surely, 2103460200 is an apocalyptic number.

103460200 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 103460200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121535190).

103460200 is an abundant number, since it is smaller than the sum of its proper divisors (139610180).

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

103460200 is a wasteful number, since it uses less digits than its factorization.

103460200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103460200 is about 10171.5387233201. The cubic root of 103460200 is about 469.4519037079.

The spelling of 103460200 in words is "one hundred three million, four hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 5333 9700 10666 19400 21332 26665 42664 53330 106660 133325 213320 266650 517301 533300 1034602 1066600 2069204 2586505 4138408 5173010 10346020 12932525 20692040 25865050 51730100 103460200