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1369728 = 27322941
BaseRepresentation
bin101001110011010000000
32120120220200
411032122000
5322312403
645205200
714433243
oct5163200
92516820
101369728
11856108
12560800
1338c5b9
1427925a
151c0ca3
hex14e680

1369728 has 96 divisors (see below), whose sum is σ = 4176900. Its totient is φ = 430080.

The previous prime is 1369727. The next prime is 1369733. The reversal of 1369728 is 8279631.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 97344 = 1128^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 1369692 and 1369701.

It is not an unprimeable number, because it can be changed into a prime (1369723) 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, 33388 + ... + 33428.

21369728 is an apocalyptic number.

1369728 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 1369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088450).

1369728 is an abundant number, since it is smaller than the sum of its proper divisors (2807172).

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

1369728 is a wasteful number, since it uses less digits than its factorization.

1369728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1369728 is about 1170.3537926627. The cubic root of 1369728 is about 111.0567034367.

Subtracting 1369728 from its reverse (8279631), we obtain a triangular number (6909903 = T3717).

The spelling of 1369728 in words is "one million, three hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 41 48 58 64 72 82 87 96 116 123 128 144 164 174 192 232 246 261 288 328 348 369 384 464 492 522 576 656 696 738 928 984 1044 1152 1189 1312 1392 1476 1856 1968 2088 2378 2624 2784 2952 3567 3712 3936 4176 4756 5248 5568 5904 7134 7872 8352 9512 10701 11136 11808 14268 15744 16704 19024 21402 23616 28536 33408 38048 42804 47232 57072 76096 85608 114144 152192 171216 228288 342432 456576 684864 1369728