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14289440 = 2551123353
BaseRepresentation
bin110110100000…
…101000100000
3222212222102112
4312200220200
512124230230
61230134452
7232313114
oct66405040
928788375
1014289440
11807a960
124951428
132c640b9
141c7d744
1513c3d95
hexda0a20

14289440 has 96 divisors (see below), whose sum is σ = 38537856. Its totient is φ = 4956160.

The previous prime is 14289427. The next prime is 14289449. The reversal of 14289440 is 4498241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14289397 and 14289406.

It is not an unprimeable number, because it can be changed into a prime (14289449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40304 + ... + 40656.

It is an arithmetic number, because the mean of its divisors is an integer number (401436).

Almost surely, 214289440 is an apocalyptic number.

14289440 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 14289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19268928).

14289440 is an abundant number, since it is smaller than the sum of its proper divisors (24248416).

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

14289440 is a wasteful number, since it uses less digits than its factorization.

14289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 14289440 is about 3780.1375636344. The cubic root of 14289440 is about 242.6638422299.

The spelling of 14289440 in words is "fourteen million, two hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 353 368 440 460 506 706 736 880 920 1012 1265 1412 1760 1765 1840 2024 2530 2824 3530 3680 3883 4048 5060 5648 7060 7766 8096 8119 10120 11296 14120 15532 16238 19415 20240 28240 31064 32476 38830 40480 40595 56480 62128 64952 77660 81190 89309 124256 129904 155320 162380 178618 259808 310640 324760 357236 446545 621280 649520 714472 893090 1299040 1428944 1786180 2857888 3572360 7144720 14289440