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104240000 = 27541303
BaseRepresentation
bin1100011011010…
…01001110000000
321021010221101202
412031221032000
5203141140000
614202120332
72404011464
oct615511600
9237127352
10104240000
1153928067
122aab00a8
1318799697
14dbb64a4
159240dd5
hex6369380

104240000 has 80 divisors (see below), whose sum is σ = 259698120. Its totient is φ = 41664000.

The previous prime is 104239997. The next prime is 104240009. The reversal of 104240000 is 42401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79349 + ... + 80651.

Almost surely, 2104240000 is an apocalyptic number.

104240000 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 104240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129849060).

104240000 is an abundant number, since it is smaller than the sum of its proper divisors (155458120).

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

104240000 is an frugal number, since it uses more digits than its factorization.

104240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 104240000 is about 10209.7992144802. The cubic root of 104240000 is about 470.6284034340.

Adding to 104240000 its reverse (42401), we get a palindrome (104282401).

The spelling of 104240000 in words is "one hundred four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1303 1600 2000 2500 2606 3200 4000 5000 5212 6515 8000 10000 10424 13030 16000 20000 20848 26060 32575 40000 41696 52120 65150 80000 83392 104240 130300 162875 166784 208480 260600 325750 416960 521200 651500 814375 833920 1042400 1303000 1628750 2084800 2606000 3257500 4169600 5212000 6515000 10424000 13030000 20848000 26060000 52120000 104240000