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14136768 = 2637101
BaseRepresentation
bin110101111011…
…010111000000
3222121020000000
4311323113000
512104334033
61223000000
7231106032
oct65732700
928536000
1014136768
117a86188
124899000
132c0c769
141c3dc52
151393a13
hexd7b5c0

14136768 has 112 divisors (see below), whose sum is σ = 42489120. Its totient is φ = 4665600.

The previous prime is 14136767. The next prime is 14136781. The reversal of 14136768 is 86763141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14136767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139918 + ... + 140018.

Almost surely, 214136768 is an apocalyptic number.

14136768 is a gapful number since it is divisible by the number (18) 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 14136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244560).

14136768 is an abundant number, since it is smaller than the sum of its proper divisors (28352352).

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

14136768 is an frugal number, since it uses more digits than its factorization.

14136768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 14136768 is about 3759.8893600743. The cubic root of 14136768 is about 241.7965186157.

The spelling of 14136768 in words is "fourteen million, one hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 101 108 144 162 192 202 216 243 288 303 324 404 432 486 576 606 648 729 808 864 909 972 1212 1296 1458 1616 1728 1818 1944 2187 2424 2592 2727 2916 3232 3636 3888 4374 4848 5184 5454 5832 6464 7272 7776 8181 8748 9696 10908 11664 14544 15552 16362 17496 19392 21816 23328 24543 29088 32724 34992 43632 46656 49086 58176 65448 69984 73629 87264 98172 130896 139968 147258 174528 196344 220887 261792 294516 392688 441774 523584 589032 785376 883548 1178064 1570752 1767096 2356128 3534192 4712256 7068384 14136768