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14932080 = 2433531223
BaseRepresentation
bin111000111101…
…100001110000
31001002121222000
4320331201300
512310311310
61252014000
7240630522
oct70754160
931077860
1014932080
118479769
125001300
13312a767
141da9a12
15149e4c0
hexe3d870

14932080 has 160 divisors (see below), whose sum is σ = 53329920. Its totient is φ = 3836160.

The previous prime is 14932079. The next prime is 14932087. The reversal of 14932080 is 8023941.

14932080 is digitally balanced in base 2, because in such base 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 not an unprimeable number, because it can be changed into a prime (14932087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66849 + ... + 67071.

It is an arithmetic number, because the mean of its divisors is an integer number (333312).

Almost surely, 214932080 is an apocalyptic number.

14932080 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 14932080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26664960).

14932080 is an abundant number, since it is smaller than the sum of its proper divisors (38397840).

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

14932080 is a wasteful number, since it uses less digits than its factorization.

14932080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14932080 is about 3864.2049635080. The cubic root of 14932080 is about 246.2484105818.

The spelling of 14932080 in words is "fourteen million, nine hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 223 240 248 270 279 310 360 372 432 446 465 496 540 558 620 669 720 744 837 892 930 1080 1115 1116 1240 1338 1395 1488 1674 1784 1860 2007 2160 2230 2232 2480 2676 2790 3345 3348 3568 3720 4014 4185 4460 4464 5352 5580 6021 6690 6696 6913 7440 8028 8370 8920 10035 10704 11160 12042 13380 13392 13826 16056 16740 17840 20070 20739 22320 24084 26760 27652 30105 32112 33480 34565 40140 41478 48168 53520 55304 60210 62217 66960 69130 80280 82956 96336 103695 110608 120420 124434 138260 160560 165912 186651 207390 240840 248868 276520 311085 331824 373302 414780 481680 497736 553040 622170 746604 829560 933255 995472 1244340 1493208 1659120 1866510 2488680 2986416 3733020 4977360 7466040 14932080