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14311040 = 27559379
BaseRepresentation
bin110110100101…
…111010000000
3222221002001112
4312211322000
512130423130
61230422452
7232433102
oct66457200
928832045
1014311040
118095107
124961a28
132c70b93
141c87572
1513ca495
hexda5e80

14311040 has 64 divisors (see below), whose sum is σ = 34884000. Its totient is φ = 5612544.

The previous prime is 14311039. The next prime is 14311051. The reversal of 14311040 is 4011341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37571 + ... + 37949.

Almost surely, 214311040 is an apocalyptic number.

14311040 is a gapful number since it is divisible by the number (10) 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 14311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442000).

14311040 is an abundant number, since it is smaller than the sum of its proper divisors (20572960).

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

14311040 is an equidigital number, since it uses as much as digits as its factorization.

14311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 14311040 is about 3782.9935236529. The cubic root of 14311040 is about 242.7860513615.

Adding to 14311040 its reverse (4011341), we get a palindrome (18322381).

The spelling of 14311040 in words is "fourteen million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 295 320 379 472 590 640 758 944 1180 1516 1888 1895 2360 3032 3776 3790 4720 6064 7552 7580 9440 12128 15160 18880 22361 24256 30320 37760 44722 48512 60640 89444 111805 121280 178888 223610 242560 357776 447220 715552 894440 1431104 1788880 2862208 3577760 7155520 14311040