Search a number
-
+
14255440 = 245732441
BaseRepresentation
bin110110011000…
…010101010000
3222211020210021
4312120111100
512122133230
61225313224
7232112023
oct66302520
928736707
1014255440
118057361
124935814
132c51794
141c711ba
1513b8c7a
hexd98550

14255440 has 40 divisors (see below), whose sum is σ = 33611688. Its totient is φ = 5621760.

The previous prime is 14255431. The next prime is 14255441. The reversal of 14255440 is 4455241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 14047504 = 456^2 + 3748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14255441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4620 + ... + 7060.

Almost surely, 214255440 is an apocalyptic number.

14255440 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 14255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805844).

14255440 is an abundant number, since it is smaller than the sum of its proper divisors (19356248).

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

14255440 is a wasteful number, since it uses less digits than its factorization.

14255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 14255440 is about 3775.6376944829. The cubic root of 14255440 is about 242.4712262597.

The spelling of 14255440 in words is "fourteen million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2441 2920 4882 5840 9764 12205 19528 24410 39056 48820 97640 178193 195280 356386 712772 890965 1425544 1781930 2851088 3563860 7127720 14255440