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14728420 = 2257319113
BaseRepresentation
bin111000001011…
…110011100100
31000201021121001
4320023303210
512232302140
61243403044
7236122000
oct70136344
930637531
1014728420
11834a753
124b23484
133088b55
141d55700
15145de9a
hexe0bce4

14728420 has 96 divisors (see below), whose sum is σ = 38304000. Its totient is φ = 4741632.

The previous prime is 14728411. The next prime is 14728423. The reversal of 14728420 is 2482741.

14728420 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 (28).

It is not an unprimeable number, because it can be changed into a prime (14728423) 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, 130284 + ... + 130396.

It is an arithmetic number, because the mean of its divisors is an integer number (399000).

Almost surely, 214728420 is an apocalyptic number.

14728420 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 14728420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152000).

14728420 is an abundant number, since it is smaller than the sum of its proper divisors (23575580).

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

14728420 is a wasteful number, since it uses less digits than its factorization.

14728420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 14728420 is about 3837.7623688811. The cubic root of 14728420 is about 245.1237470099.

The spelling of 14728420 in words is "fourteen million, seven hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 113 133 140 190 196 226 245 266 343 380 452 490 532 565 665 686 791 931 980 1130 1330 1372 1582 1715 1862 2147 2260 2660 3164 3430 3724 3955 4294 4655 5537 6517 6860 7910 8588 9310 10735 11074 13034 15029 15820 18620 21470 22148 26068 27685 30058 32585 38759 42940 55370 60116 65170 75145 77518 105203 110740 130340 150290 155036 193795 210406 300580 387590 420812 526015 736421 775180 1052030 1472842 2104060 2945684 3682105 7364210 14728420