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14540260 = 2257237401
BaseRepresentation
bin110111011101…
…110111100100
31000100201111011
4313131313210
512210242020
61235352004
7234406300
oct67356744
930321434
1014540260
118231349
124a52604
133021307
141d06d00
15142335a
hexdddde4

14540260 has 72 divisors (see below), whose sum is σ = 36570744. Its totient is φ = 4838400.

The previous prime is 14540237. The next prime is 14540261. The reversal of 14540260 is 6204541.

It can be written as a sum of positive squares in 4 ways, for example, as 8809024 + 5731236 = 2968^2 + 2394^2 .

It is a super-2 number, since 2×145402602 = 422838321735200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14540261) 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, 36060 + ... + 36460.

It is an arithmetic number, because the mean of its divisors is an integer number (507927).

Almost surely, 214540260 is an apocalyptic number.

14540260 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 14540260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18285372).

14540260 is an abundant number, since it is smaller than the sum of its proper divisors (22030484).

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

14540260 is a wasteful number, since it uses less digits than its factorization.

14540260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 14540260 is about 3813.1692855157. The cubic root of 14540260 is about 244.0754268290.

The spelling of 14540260 in words is "fourteen million, five hundred forty thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 401 490 518 740 802 980 1036 1295 1604 1813 2005 2590 2807 3626 4010 5180 5614 7252 8020 9065 11228 14035 14837 18130 19649 28070 29674 36260 39298 56140 59348 74185 78596 98245 103859 148370 196490 207718 296740 392980 415436 519295 727013 1038590 1454026 2077180 2908052 3635065 7270130 14540260