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14536540 = 2252971353
BaseRepresentation
bin110111011100…
…111101011100
31000100112101101
4313130331130
512210132130
61235322444
7234362404
oct67347534
930315341
1014536540
118229577
124a50424
13301c705
141d05804
1514221ca
hexddcf5c

14536540 has 48 divisors (see below), whose sum is σ = 32114880. Its totient is φ = 5519360.

The previous prime is 14536507. The next prime is 14536549. The reversal of 14536540 is 4563541.

It is a super-2 number, since 2×145365402 = 422621990343200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14536499 and 14536508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14536549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41004 + ... + 41356.

It is an arithmetic number, because the mean of its divisors is an integer number (669060).

Almost surely, 214536540 is an apocalyptic number.

14536540 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 14536540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057440).

14536540 is an abundant number, since it is smaller than the sum of its proper divisors (17578340).

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

14536540 is a wasteful number, since it uses less digits than its factorization.

14536540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 14536540 is about 3812.6814710909. The cubic root of 14536540 is about 244.0546101900.

It can be divided in two parts, 1453 and 6540, that multiplied together give a triangular number (9502620 = T4359).

The spelling of 14536540 in words is "fourteen million, five hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 71 116 142 145 284 290 353 355 580 706 710 1412 1420 1765 2059 3530 4118 7060 8236 10237 10295 20474 20590 25063 40948 41180 50126 51185 100252 102370 125315 204740 250630 501260 726827 1453654 2907308 3634135 7268270 14536540