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14250420 = 22325174657
BaseRepresentation
bin110110010111…
…000110110100
3222210222220100
4312113012310
512122003140
61225234100
7232061262
oct66270664
928728810
1014250420
118053608
124932930
132c4c402
141c6d432
1513b7530
hexd971b4

14250420 has 72 divisors (see below), whose sum is σ = 45778824. Its totient is φ = 3575808.

The previous prime is 14250407. The next prime is 14250427. The reversal of 14250420 is 2405241.

14250420 is a `hidden beast` number, since 142 + 504 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 13351716 = 948^2 + 3654^2 .

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 = 14250393 and 14250402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14250427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732 + ... + 5388.

It is an arithmetic number, because the mean of its divisors is an integer number (635817).

Almost surely, 214250420 is an apocalyptic number.

14250420 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 14250420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22889412).

14250420 is an abundant number, since it is smaller than the sum of its proper divisors (31528404).

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

14250420 is a wasteful number, since it uses less digits than its factorization.

14250420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 14250420 is about 3774.9728475845. The cubic root of 14250420 is about 242.4427611390.

Adding to 14250420 its reverse (2405241), we get a palindrome (16655661).

The spelling of 14250420 in words is "fourteen million, two hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4657 9314 13971 18628 23285 27942 41913 46570 55884 69855 79169 83826 93140 139710 158338 167652 209565 237507 279420 316676 395845 419130 475014 712521 791690 838260 950028 1187535 1425042 1583380 2375070 2850084 3562605 4750140 7125210 14250420