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14292720 = 2433513509
BaseRepresentation
bin110110100001…
…011011110000
3222220010221000
4312201123300
512124331340
61230202000
7232325511
oct66413360
928803830
1014292720
118082372
124953300
132c65740
141c80a08
1513c4d30
hexda16f0

14292720 has 160 divisors (see below), whose sum is σ = 53121600. Its totient is φ = 3511296.

The previous prime is 14292713. The next prime is 14292749. The reversal of 14292720 is 2729241.

14292720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27826 + ... + 28334.

It is an arithmetic number, because the mean of its divisors is an integer number (332010).

Almost surely, 214292720 is an apocalyptic number.

14292720 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 14292720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560800).

14292720 is an abundant number, since it is smaller than the sum of its proper divisors (38828880).

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

14292720 is a wasteful number, since it uses less digits than its factorization.

14292720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14292720 is about 3780.5713853861. The cubic root of 14292720 is about 242.6824078399.

The spelling of 14292720 in words is "fourteen million, two hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 509 520 540 585 624 702 720 780 936 1018 1040 1080 1170 1404 1527 1560 1755 1872 2036 2160 2340 2545 2808 3054 3120 3510 4072 4581 4680 5090 5616 6108 6617 7020 7635 8144 9162 9360 10180 12216 13234 13743 14040 15270 18324 19851 20360 22905 24432 26468 27486 28080 30540 33085 36648 39702 40720 45810 52936 54972 59553 61080 66170 68715 73296 79404 91620 99255 105872 109944 119106 122160 132340 137430 158808 178659 183240 198510 219888 238212 264680 274860 297765 317616 357318 366480 397020 476424 529360 549720 595530 714636 794040 893295 952848 1099440 1191060 1429272 1588080 1786590 2382120 2858544 3573180 4764240 7146360 14292720