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14960440 = 235113281
BaseRepresentation
bin111001000100…
…011100111000
31001011001212101
4321010130320
512312213230
61252353144
7241106305
oct71043470
931131771
1014960440
118499000
1250157b4
13313a641
141db60ac
1514a7aca
hexe44738

14960440 has 64 divisors (see below), whose sum is σ = 37156320. Its totient is φ = 5420800.

The previous prime is 14960437. The next prime is 14960447. The reversal of 14960440 is 4406941.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14960399 and 14960408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14960447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 53100 + ... + 53380.

Almost surely, 214960440 is an apocalyptic number.

14960440 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 14960440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18578160).

14960440 is an abundant number, since it is smaller than the sum of its proper divisors (22195880).

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

14960440 is a wasteful number, since it uses less digits than its factorization.

14960440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 14960440 is about 3867.8728003904. The cubic root of 14960440 is about 246.4042091118.

It can be divided in two parts, 14960 and 440, that added together give a triangular number (15400 = T175).

The spelling of 14960440 in words is "fourteen million, nine hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 281 440 484 562 605 968 1124 1210 1331 1405 2248 2420 2662 2810 3091 4840 5324 5620 6182 6655 10648 11240 12364 13310 15455 24728 26620 30910 34001 53240 61820 68002 123640 136004 170005 272008 340010 374011 680020 748022 1360040 1496044 1870055 2992088 3740110 7480220 14960440