Search a number
-
+
23093616 = 24371317311
BaseRepresentation
bin101100000011…
…0000101110000
31121110021111010
41120012011300
521402443431
62142550520
7400202220
oct130060560
947407433
1023093616
1112043637
127898440
134a27580
1430d2080
152062846
hex1606170

23093616 has 160 divisors (see below), whose sum is σ = 77995008. Its totient is φ = 5713920.

The previous prime is 23093573. The next prime is 23093621. The reversal of 23093616 is 61639032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74101 + ... + 74411.

Almost surely, 223093616 is an apocalyptic number.

23093616 is a gapful number since it is divisible by the number (26) 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 23093616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

23093616 is an abundant number, since it is smaller than the sum of its proper divisors (54901392).

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

23093616 is a wasteful number, since it uses less digits than its factorization.

23093616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 23093616 is about 4805.5817545850. The cubic root of 23093616 is about 284.7720183551.

The spelling of 23093616 in words is "twenty-three million, ninety-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 311 312 336 357 364 408 442 476 546 622 624 663 714 728 816 884 933 952 1092 1244 1326 1428 1456 1547 1768 1866 1904 2177 2184 2488 2652 2856 3094 3536 3732 4043 4354 4368 4641 4976 5287 5304 5712 6188 6531 7464 8086 8708 9282 10574 10608 12129 12376 13062 14928 15861 16172 17416 18564 21148 24258 24752 26124 28301 31722 32344 34832 37009 37128 42296 48516 52248 56602 63444 64688 68731 74018 74256 84592 84903 97032 104496 111027 113204 126888 137462 148036 169806 194064 206193 222054 226408 253776 274924 296072 339612 412386 444108 452816 481117 549848 592144 679224 824772 888216 962234 1099696 1358448 1443351 1649544 1776432 1924468 2886702 3299088 3848936 5773404 7697872 11546808 23093616