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14425760 = 255293109
BaseRepresentation
bin110111000001…
…111010100000
31000010220102102
4313001322200
512143111020
61233105532
7233421416
oct67017240
930126372
1014425760
118163318
1249b82a8
132cb116b
141cb72b6
1513ee475
hexdc1ea0

14425760 has 48 divisors (see below), whose sum is σ = 35267400. Its totient is φ = 5569536.

The previous prime is 14425759. The next prime is 14425771. The reversal of 14425760 is 6752441.

It can be written as a sum of positive squares in 4 ways, for example, as 9461776 + 4963984 = 3076^2 + 2228^2 .

It is a super-3 number, since 3×144257603 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3086 + ... + 6194.

Almost surely, 214425760 is an apocalyptic number.

14425760 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 14425760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17633700).

14425760 is an abundant number, since it is smaller than the sum of its proper divisors (20841640).

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

14425760 is a wasteful number, since it uses less digits than its factorization.

14425760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 14425760 is about 3798.1258536283. The cubic root of 14425760 is about 243.4330651840.

The spelling of 14425760 in words is "fourteen million, four hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 3109 4640 6218 12436 15545 24872 31090 49744 62180 90161 99488 124360 180322 248720 360644 450805 497440 721288 901610 1442576 1803220 2885152 3606440 7212880 14425760