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104753140 = 22510494993
BaseRepresentation
bin1100011111001…
…10011111110100
321022010000021221
412033212133310
5203304100030
614221120124
72411246512
oct617463764
9238100257
10104753140
1154148648
122b0b9044
131891910b
14dcab4b2
1592e2e7a
hex63e67f4

104753140 has 24 divisors (see below), whose sum is σ = 220235400. Its totient is φ = 41852928.

The previous prime is 104753119. The next prime is 104753149. The reversal of 104753140 is 41357401.

It can be written as a sum of positive squares in 4 ways, for example, as 22524516 + 82228624 = 4746^2 + 9068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104753149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18484 + ... + 23476.

It is an arithmetic number, because the mean of its divisors is an integer number (9176475).

Almost surely, 2104753140 is an apocalyptic number.

104753140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104753140 is an abundant number, since it is smaller than the sum of its proper divisors (115482260).

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

104753140 is a wasteful number, since it uses less digits than its factorization.

104753140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6049 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 104753140 is about 10234.8981431180. The cubic root of 104753140 is about 471.3993904715.

The spelling of 104753140 in words is "one hundred four million, seven hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1049 2098 4196 4993 5245 9986 10490 19972 20980 24965 49930 99860 5237657 10475314 20950628 26188285 52376570 104753140