Search a number
-
+
12488168 = 2371121997
BaseRepresentation
bin101111101000…
…110111101000
3212111110112202
4233220313220
511144110133
61123355332
7211101440
oct57506750
925443482
1012488168
11705a600
124222b48
132783264
141931120
15116a2e8
hexbe8de8

12488168 has 96 divisors (see below), whose sum is σ = 31281600. Its totient is φ = 4561920.

The previous prime is 12488159. The next prime is 12488171. The reversal of 12488168 is 86188421.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128696 + ... + 128792.

It is an arithmetic number, because the mean of its divisors is an integer number (325850).

Almost surely, 212488168 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 12488168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640800).

12488168 is an abundant number, since it is smaller than the sum of its proper divisors (18793432).

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

12488168 is a wasteful number, since it uses less digits than its factorization.

12488168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 12488168 is about 3533.8602122891. The cubic root of 12488168 is about 232.0061928589.

The spelling of 12488168 in words is "twelve million, four hundred eighty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 97 121 133 152 154 194 209 242 266 308 388 418 484 532 616 679 776 836 847 968 1064 1067 1358 1463 1672 1694 1843 2134 2299 2716 2926 3388 3686 4268 4598 5432 5852 6776 7372 7469 8536 9196 11704 11737 12901 14744 14938 16093 18392 20273 23474 25802 29876 32186 40546 46948 51604 59752 64372 81092 82159 93896 103208 128744 141911 162184 164318 223003 283822 328636 446006 567644 657272 892012 1135288 1561021 1784024 3122042 6244084 12488168