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5934096 = 243272292
BaseRepresentation
bin10110101000110000010000
3102011111001100
4112220300100
53004342341
6331104400
7101303400
oct26506020
912144040
105934096
113393413
121ba2100
1312c9ccc
14b06800
157c33b6
hex5a8c10

5934096 has 135 divisors (see below), whose sum is σ = 20007741. Its totient is φ = 1636992.

The previous prime is 5934091. The next prime is 5934107. The reversal of 5934096 is 6904395.

The square root of 5934096 is 2436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 2822400 = 1764^2 + 1680^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5934096.

It is not an unprimeable number, because it can be changed into a prime (5934091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 204610 + ... + 204638.

Almost surely, 25934096 is an apocalyptic number.

5934096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5934096 is the 2436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5934096

5934096 is an abundant number, since it is smaller than the sum of its proper divisors (14073645).

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

5934096 is a wasteful number, since it uses less digits than its factorization.

5934096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The cubic root of 5934096 is about 181.0442999734.

Multiplying 5934096 by its sum of digits (36), we get a square (213627456 = 146162).

5934096 divided by its sum of digits (36) gives a square (164836 = 4062).

Subtracting 5934096 from its reverse (6904395), we obtain a cube (970299 = 993).

The spelling of 5934096 in words is "five million, nine hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 49 56 58 63 72 84 87 98 112 116 126 144 147 168 174 196 203 232 252 261 294 336 348 392 406 441 464 504 522 588 609 696 784 812 841 882 1008 1044 1176 1218 1392 1421 1624 1682 1764 1827 2088 2352 2436 2523 2842 3248 3364 3528 3654 4176 4263 4872 5046 5684 5887 6728 7056 7308 7569 8526 9744 10092 11368 11774 12789 13456 14616 15138 17052 17661 20184 22736 23548 25578 29232 30276 34104 35322 40368 41209 47096 51156 52983 60552 68208 70644 82418 94192 102312 105966 121104 123627 141288 164836 204624 211932 247254 282576 329672 370881 423864 494508 659344 741762 847728 989016 1483524 1978032 2967048 5934096