Search a number
-
+
17993712 = 2431153643
BaseRepresentation
bin100010010100…
…0111111110000
31020212011201210
41010220333300
514101244322
61441400120
7305641542
oct104507760
936764653
1017993712
11a17aa40
126039040
133960189
142565692
1518a670c
hex1128ff0

17993712 has 80 divisors (see below), whose sum is σ = 51746688. Its totient is φ = 5341440.

The previous prime is 17993707. The next prime is 17993713. The reversal of 17993712 is 21739971.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17993713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27663 + ... + 28305.

Almost surely, 217993712 is an apocalyptic number.

17993712 is a gapful number since it is divisible by the number (12) 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 17993712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25873344).

17993712 is an abundant number, since it is smaller than the sum of its proper divisors (33752976).

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

17993712 is a wasteful number, since it uses less digits than its factorization.

17993712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its digits is 23814, while the sum is 39.

The square root of 17993712 is about 4241.8995744831. The cubic root of 17993712 is about 262.0436187891.

The spelling of 17993712 in words is "seventeen million, nine hundred ninety-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 643 848 1166 1272 1286 1749 1929 2332 2544 2572 3498 3858 4664 5144 6996 7073 7716 9328 10288 13992 14146 15432 21219 27984 28292 30864 34079 42438 56584 68158 84876 102237 113168 136316 169752 204474 272632 339504 374869 408948 545264 749738 817896 1124607 1499476 1635792 2249214 2998952 4498428 5997904 8996856 17993712