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14894720 = 27517372
BaseRepresentation
bin111000110100…
…011010000000
31001000201201022
4320310122000
512303112340
61251125012
7240413561
oct70643200
931021638
1014894720
118453695
124ba3768
133116759
141d9a168
1514933b5
hexe34680

14894720 has 96 divisors (see below), whose sum is σ = 38748780. Its totient is φ = 5455872.

The previous prime is 14894699. The next prime is 14894729. The reversal of 14894720 is 2749841.

It can be written as a sum of positive squares in 6 ways, for example, as 13957696 + 937024 = 3736^2 + 968^2 .

It is not an unprimeable number, because it can be changed into a prime (14894729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402542 + ... + 402578.

Almost surely, 214894720 is an apocalyptic number.

14894720 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 14894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19374390).

14894720 is an abundant number, since it is smaller than the sum of its proper divisors (23854060).

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

14894720 is an equidigital number, since it uses as much as digits as its factorization.

14894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 14894720 is about 3859.3678238800. The cubic root of 14894720 is about 246.0428682426.

The spelling of 14894720 in words is "fourteen million, eight hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 64 68 74 80 85 128 136 148 160 170 185 272 296 320 340 370 544 592 629 640 680 740 1088 1184 1258 1360 1369 1480 2176 2368 2516 2720 2738 2960 3145 4736 5032 5440 5476 5920 6290 6845 10064 10880 10952 11840 12580 13690 20128 21904 23273 23680 25160 27380 40256 43808 46546 50320 54760 80512 87616 93092 100640 109520 116365 175232 186184 201280 219040 232730 372368 402560 438080 465460 744736 876160 930920 1489472 1861840 2978944 3723680 7447360 14894720