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14100720 = 2435411433
BaseRepresentation
bin110101110010…
…100011110000
3222112101112220
4311302203300
512102210340
61222121040
7230565654
oct65624360
928471486
1014100720
117a61097
124880180
132bc922a
141c30a64
151387ed0
hexd728f0

14100720 has 80 divisors (see below), whose sum is σ = 44809632. Its totient is φ = 3665920.

The previous prime is 14100719. The next prime is 14100727. The reversal of 14100720 is 2700141.

14100720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14100720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9124 + ... + 10556.

Almost surely, 214100720 is an apocalyptic number.

14100720 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 14100720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22404816).

14100720 is an abundant number, since it is smaller than the sum of its proper divisors (30708912).

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

14100720 is a wasteful number, since it uses less digits than its factorization.

14100720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 14100720 is about 3755.0925421353. The cubic root of 14100720 is about 241.5908209603.

Subtracting from 14100720 its sum of digits (15), we obtain a triangular number (14100705 = T5310).

Adding to 14100720 its reverse (2700141), we get a palindrome (16800861).

The spelling of 14100720 in words is "fourteen million, one hundred thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1433 1640 1968 2460 2866 3280 4299 4920 5732 7165 8598 9840 11464 14330 17196 21495 22928 28660 34392 42990 57320 58753 68784 85980 114640 117506 171960 176259 235012 293765 343920 352518 470024 587530 705036 881295 940048 1175060 1410072 1762590 2350120 2820144 3525180 4700240 7050360 14100720