Search a number
-
+
14205060 = 22325531489
BaseRepresentation
bin110110001100…
…000010000100
3222201200200100
4312030002010
512114030220
61224244100
7231512112
oct66140204
928650610
1014205060
118022521
124910630
132c3487c
141c5aab2
1513a8d90
hexd8c084

14205060 has 72 divisors (see below), whose sum is σ = 43931160. Its totient is φ = 3714048.

The previous prime is 14205031. The next prime is 14205067. The reversal of 14205060 is 6050241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 13089924 = 1056^2 + 3618^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14205067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8796 + ... + 10284.

It is an arithmetic number, because the mean of its divisors is an integer number (610155).

Almost surely, 214205060 is an apocalyptic number.

14205060 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 14205060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965580).

14205060 is an abundant number, since it is smaller than the sum of its proper divisors (29726100).

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

14205060 is a wasteful number, since it uses less digits than its factorization.

14205060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14205060 is about 3768.9600687723. The cubic root of 14205060 is about 242.1852507734.

The spelling of 14205060 in words is "fourteen million, two hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1489 1590 1908 2385 2978 3180 4467 4770 5956 7445 8934 9540 13401 14890 17868 22335 26802 29780 44670 53604 67005 78917 89340 134010 157834 236751 268020 315668 394585 473502 710253 789170 947004 1183755 1420506 1578340 2367510 2841012 3551265 4735020 7102530 14205060