Search a number
-
+
104967024 = 24367127257
BaseRepresentation
bin1100100000110…
…10101101110000
321022111212200120
412100122231300
5203332421044
614225450240
72413130211
oct620325560
9238455616
10104967024
1154284308
122b1a0980
1318992586
14dd25408
159336519
hex641ab70

104967024 has 80 divisors (see below), whose sum is σ = 278458368. Its totient is φ = 34062336.

The previous prime is 104967017. The next prime is 104967041. The reversal of 104967024 is 420769401.

It is a happy number.

It is a super-2 number, since 2×1049670242 = 22036152254833152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408304 + ... + 408560.

Almost surely, 2104967024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104967024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139229184).

104967024 is an abundant number, since it is smaller than the sum of its proper divisors (173491344).

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

104967024 is a wasteful number, since it uses less digits than its factorization.

104967024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 104967024 is about 10245.3415755650. The cubic root of 104967024 is about 471.7200053442.

The spelling of 104967024 in words is "one hundred four million, nine hundred sixty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 127 134 201 254 257 268 381 402 508 514 536 762 771 804 1016 1028 1072 1524 1542 1608 2032 2056 3048 3084 3216 4112 6096 6168 8509 12336 17018 17219 25527 32639 34036 34438 51054 51657 65278 68072 68876 97917 102108 103314 130556 136144 137752 195834 204216 206628 261112 275504 391668 408432 413256 522224 783336 826512 1566672 2186813 4373626 6560439 8747252 13120878 17494504 26241756 34989008 52483512 104967024