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14924420 = 2257297157
BaseRepresentation
bin111000111011…
…101010000100
31001002020110022
4320323222010
512310040140
61251514312
7240566300
oct70735204
931066408
1014924420
118473a35
124bb8998
133127124
141da6d00
15149c0b5
hexe3ba84

14924420 has 72 divisors (see below), whose sum is σ = 37068696. Its totient is φ = 5031936.

The previous prime is 14924417. The next prime is 14924449. The reversal of 14924420 is 2442941.

14924420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 529984 + 14394436 = 728^2 + 3794^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14924420.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94982 + ... + 95138.

It is an arithmetic number, because the mean of its divisors is an integer number (514843).

Almost surely, 214924420 is an apocalyptic number.

14924420 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 14924420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18534348).

14924420 is an abundant number, since it is smaller than the sum of its proper divisors (22144276).

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

14924420 is a wasteful number, since it uses less digits than its factorization.

14924420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 14924420 is about 3863.2136881099. The cubic root of 14924420 is about 246.2062957645.

The spelling of 14924420 in words is "fourteen million, nine hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 157 194 196 245 314 388 485 490 628 679 785 970 980 1099 1358 1570 1940 2198 2716 3140 3395 4396 4753 5495 6790 7693 9506 10990 13580 15229 15386 19012 21980 23765 30458 30772 38465 47530 60916 76145 76930 95060 106603 152290 153860 213206 304580 426412 533015 746221 1066030 1492442 2132060 2984884 3731105 7462210 14924420