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104135400 = 23325257853
BaseRepresentation
bin1100011010011…
…11101011101000
321020221121220200
412031033223220
5203124313100
614155552200
72403064515
oct615175350
9236847820
10104135400
1153866516
122aa5b660
1318760ba5
14db8a30c
15921ee00
hex634fae8

104135400 has 72 divisors (see below), whose sum is σ = 349727430. Its totient is φ = 27768960.

The previous prime is 104135393. The next prime is 104135401. The reversal of 104135400 is 4531401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 55442916 + 48692484 = 7446^2 + 6978^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (104135401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27127 + ... + 30726.

Almost surely, 2104135400 is an apocalyptic number.

104135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104135400 is an abundant number, since it is smaller than the sum of its proper divisors (245592030).

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

104135400 is a wasteful number, since it uses less digits than its factorization.

104135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57875 (or 57863 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 104135400 is about 10204.6753990512. The cubic root of 104135400 is about 470.4709328338.

Adding to 104135400 its reverse (4531401), we get a palindrome (108666801).

The spelling of 104135400 in words is "one hundred four million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 57853 115706 173559 231412 289265 347118 462824 520677 578530 694236 867795 1041354 1157060 1388472 1446325 1735590 2082708 2314120 2603385 2892650 3471180 4165416 4338975 5206770 5785300 6942360 8677950 10413540 11570600 13016925 17355900 20827080 26033850 34711800 52067700 104135400