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14395680 = 2532513769
BaseRepresentation
bin110110111010…
…100100100000
31000002101011100
4312322210200
512141130210
61232314400
7233234625
oct66724440
930071140
1014395680
118142762
1249a2a00
132ca0570
141caa34c
1513e55c0
hexdba920

14395680 has 144 divisors (see below), whose sum is σ = 52972920. Its totient is φ = 3538944.

The previous prime is 14395663. The next prime is 14395681. The reversal of 14395680 is 8659341.

It can be written as a sum of positive squares in 4 ways, for example, as 8225424 + 6170256 = 2868^2 + 2484^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14395681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18336 + ... + 19104.

Almost surely, 214395680 is an apocalyptic number.

14395680 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 14395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26486460).

14395680 is an abundant number, since it is smaller than the sum of its proper divisors (38577240).

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

14395680 is a wasteful number, since it uses less digits than its factorization.

14395680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 14395680 is about 3794.1639395261. The cubic root of 14395680 is about 243.2637485817.

The spelling of 14395680 in words is "fourteen million, three hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 769 780 936 1040 1170 1248 1440 1538 1560 1872 2080 2307 2340 3076 3120 3744 3845 4614 4680 6152 6240 6921 7690 9228 9360 9997 11535 12304 13842 15380 18456 18720 19994 23070 24608 27684 29991 30760 34605 36912 39988 46140 49985 55368 59982 61520 69210 73824 79976 89973 92280 99970 110736 119964 123040 138420 149955 159952 179946 184560 199940 221472 239928 276840 299910 319904 359892 369120 399880 449865 479856 553680 599820 719784 799760 899730 959712 1107360 1199640 1439568 1599520 1799460 2399280 2879136 3598920 4798560 7197840 14395680