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104743728 = 24321395233
BaseRepresentation
bin1100011111001…
…00001100110000
321022002112101100
412033210030300
5203303244403
614221004400
72411210205
oct617441460
9238075340
10104743728
1154141571
122b0b3700
1318914a4b
14dca7cac
1592e02a3
hex63e4330

104743728 has 60 divisors (see below), whose sum is σ = 295302280. Its totient is φ = 34656768.

The previous prime is 104743721. The next prime is 104743733. The reversal of 104743728 is 827347401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104743692 and 104743701.

It is not an unprimeable number, because it can be changed into a prime (104743721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17400 + ... + 22632.

Almost surely, 2104743728 is an apocalyptic number.

104743728 is a gapful number since it is divisible by the number (18) 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 104743728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147651140).

104743728 is an abundant number, since it is smaller than the sum of its proper divisors (190558552).

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

104743728 is a wasteful number, since it uses less digits than its factorization.

104743728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 104743728 is about 10234.4383333918. The cubic root of 104743728 is about 471.3852717414.

The spelling of 104743728 in words is "one hundred four million, seven hundred forty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 5233 6672 10008 10466 15699 20016 20932 31398 41864 47097 62796 83728 94194 125592 188388 251184 376776 727387 753552 1454774 2182161 2909548 4364322 5819096 6546483 8728644 11638192 13092966 17457288 26185932 34914576 52371864 104743728