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14541540 = 223513103181
BaseRepresentation
bin110111011110…
…001011100100
31000100210020120
4313132023210
512210312130
61235401540
7234413106
oct67361344
930323216
1014541540
118232302
124a532b0
133021a80
141d07576
151423910
hexdde2e4

14541540 has 96 divisors (see below), whose sum is σ = 44518656. Its totient is φ = 3525120.

The previous prime is 14541523. The next prime is 14541547. The reversal of 14541540 is 4514541.

It is a happy number.

It is a super-2 number, since 2×145415402 = 422912771143200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14541540.

It is not an unprimeable number, because it can be changed into a prime (14541547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80250 + ... + 80430.

It is an arithmetic number, because the mean of its divisors is an integer number (463736).

Almost surely, 214541540 is an apocalyptic number.

14541540 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 14541540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22259328).

14541540 is an abundant number, since it is smaller than the sum of its proper divisors (29977116).

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

14541540 is a wasteful number, since it uses less digits than its factorization.

14541540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 14541540 is about 3813.3371212102. The cubic root of 14541540 is about 244.0825887225.

The spelling of 14541540 in words is "fourteen million, five hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 103 130 156 181 195 206 260 309 362 390 412 515 543 618 724 780 905 1030 1086 1236 1339 1545 1810 2060 2172 2353 2678 2715 3090 3620 4017 4706 5356 5430 6180 6695 7059 8034 9412 10860 11765 13390 14118 16068 18643 20085 23530 26780 28236 35295 37286 40170 47060 55929 70590 74572 80340 93215 111858 141180 186430 223716 242359 279645 372860 484718 559290 727077 969436 1118580 1211795 1454154 2423590 2908308 3635385 4847180 7270770 14541540