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14831440 = 2451321097
BaseRepresentation
bin111000100100…
…111101010000
31000220111220121
4320210331100
512244101230
61245520024
7240031231
oct70447520
930814817
1014831440
118410098
124b73014
1330c3a00
141d81088
15147e77a
hexe24f50

14831440 has 60 divisors (see below), whose sum is σ = 37373724. Its totient is φ = 5471232.

The previous prime is 14831387. The next prime is 14831447. The reversal of 14831440 is 4413841.

It can be written as a sum of positive squares in 6 ways, for example, as 4359744 + 10471696 = 2088^2 + 3236^2 .

It is a super-2 number, since 2×148314402 = 439943224947200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14831447) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12972 + ... + 14068.

Almost surely, 214831440 is an apocalyptic number.

14831440 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 14831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686862).

14831440 is an abundant number, since it is smaller than the sum of its proper divisors (22542284).

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

14831440 is a wasteful number, since it uses less digits than its factorization.

14831440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 14831440 is about 3851.1608639474. The cubic root of 14831440 is about 245.6939371235.

The spelling of 14831440 in words is "fourteen million, eight hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1097 1352 1690 2194 2704 3380 4388 5485 6760 8776 10970 13520 14261 17552 21940 28522 43880 57044 71305 87760 114088 142610 185393 228176 285220 370786 570440 741572 926965 1140880 1483144 1853930 2966288 3707860 7415720 14831440