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104258640 = 2435434411
BaseRepresentation
bin1100011011011…
…01110001010000
321021011212222010
412031231301100
5203142234030
614202342520
72404120023
oct615556120
9237155863
10104258640
1153940072
122aabaa40
13187a5005
14dbbd1ba
1592466b0
hex636dc50

104258640 has 40 divisors (see below), whose sum is σ = 323202528. Its totient is φ = 27802240.

The previous prime is 104258639. The next prime is 104258641. The reversal of 104258640 is 46852401.

It is an interprime number because it is at equal distance from previous prime (104258639) and next prime (104258641).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104258598 and 104258607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104258641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 216966 + ... + 217445.

Almost surely, 2104258640 is an apocalyptic number.

104258640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104258640 is an abundant number, since it is smaller than the sum of its proper divisors (218943888).

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

104258640 is a wasteful number, since it uses less digits than its factorization.

104258640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434427 (or 434421 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 104258640 is about 10210.7120221853. The cubic root of 104258640 is about 470.6564540563.

The spelling of 104258640 in words is "one hundred four million, two hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 434411 868822 1303233 1737644 2172055 2606466 3475288 4344110 5212932 6516165 6950576 8688220 10425864 13032330 17376440 20851728 26064660 34752880 52129320 104258640