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5674032 = 2432713433
BaseRepresentation
bin10101101001010000110000
3101200021022100
4111221100300
52423032112
6321340400
766141240
oct25512060
911607270
105674032
113225a91
121a97700
131238820
14a79b20
157712dc
hex569430

5674032 has 120 divisors (see below), whose sum is σ = 19589024. Its totient is φ = 1492992.

The previous prime is 5673991. The next prime is 5674033. The reversal of 5674032 is 2304765.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5673987 and 5674005.

It is not an unprimeable number, because it can be changed into a prime (5674033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12888 + ... + 13320.

Almost surely, 25674032 is an apocalyptic number.

5674032 is a gapful number since it is divisible by the number (52) 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 5674032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9794512).

5674032 is an abundant number, since it is smaller than the sum of its proper divisors (13914992).

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

5674032 is a wasteful number, since it uses less digits than its factorization.

5674032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5674032 is about 2382.0226699173. The cubic root of 5674032 is about 178.3599164572.

Adding to 5674032 its reverse (2304765), we get a palindrome (7978797).

It can be divided in two parts, 567 and 4032, that multiplied together give a square (2286144 = 15122).

The spelling of 5674032 in words is "five million, six hundred seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 433 468 504 546 624 728 819 866 936 1008 1092 1299 1456 1638 1732 1872 2184 2598 3031 3276 3464 3897 4368 5196 5629 6062 6552 6928 7794 9093 10392 11258 12124 13104 15588 16887 18186 20784 22516 24248 27279 31176 33774 36372 39403 45032 48496 50661 54558 62352 67548 72744 78806 90064 101322 109116 118209 135096 145488 157612 202644 218232 236418 270192 315224 354627 405288 436464 472836 630448 709254 810576 945672 1418508 1891344 2837016 5674032