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14022720 = 26345541
BaseRepresentation
bin110101011111…
…100001000000
3222101102120000
4311133201000
512042211340
61220320000
7230122365
oct65374100
928342500
1014022720
117a08528
124843000
132b9c88a
141c1046c
15136ed30
hexd5f840

14022720 has 140 divisors (see below), whose sum is σ = 49973484. Its totient is φ = 3732480.

The previous prime is 14022683. The next prime is 14022731. The reversal of 14022720 is 2722041.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 8714304 = 2304^2 + 2952^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14022693 and 14022702.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 25650 + ... + 26190.

Almost surely, 214022720 is an apocalyptic number.

14022720 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 14022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24986742).

14022720 is an abundant number, since it is smaller than the sum of its proper divisors (35950764).

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

14022720 is an equidigital number, since it uses as much as digits as its factorization.

14022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14022720 is about 3744.6922436964. The cubic root of 14022720 is about 241.1445331728.

Adding to 14022720 its reverse (2722041), we get a palindrome (16744761).

The spelling of 14022720 in words is "fourteen million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 541 576 648 720 810 864 960 1080 1082 1296 1440 1620 1623 1728 2160 2164 2592 2705 2880 3240 3246 4320 4328 4869 5184 5410 6480 6492 8115 8640 8656 9738 10820 12960 12984 14607 16230 17312 19476 21640 24345 25920 25968 29214 32460 34624 38952 43280 43821 48690 51936 58428 64920 73035 77904 86560 87642 97380 103872 116856 129840 146070 155808 173120 175284 194760 219105 233712 259680 292140 311616 350568 389520 438210 467424 519360 584280 701136 779040 876420 934848 1168560 1402272 1558080 1752840 2337120 2804544 3505680 4674240 7011360 14022720