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104778140 = 22517319941
BaseRepresentation
bin1100011111011…
…00100110011100
321022011021120212
412033230212130
5203310400030
614221431552
72411412425
oct617544634
9238137525
10104778140
1154165405
122b10b5b8
13189275cc
14dcb664c
1592ea595
hex63ec99c

104778140 has 48 divisors (see below), whose sum is σ = 240516864. Its totient is φ = 38169600.

The previous prime is 104778119. The next prime is 104778173. The reversal of 104778140 is 41877401.

It is a junction number, because it is equal to n+sod(n) for n = 104778097 and 104778106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5570 + ... + 15510.

It is an arithmetic number, because the mean of its divisors is an integer number (5010768).

Almost surely, 2104778140 is an apocalyptic number.

104778140 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 104778140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120258432).

104778140 is an abundant number, since it is smaller than the sum of its proper divisors (135738724).

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

104778140 is a wasteful number, since it uses less digits than its factorization.

104778140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998 (or 9996 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 104778140 is about 10236.1193818751. The cubic root of 104778140 is about 471.4368883049.

The spelling of 104778140 in words is "one hundred four million, seven hundred seventy-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 9941 10540 19882 39764 49705 99410 168997 198820 308171 337994 616342 675988 844985 1232684 1540855 1689970 3081710 3379940 5238907 6163420 10477814 20955628 26194535 52389070 104778140