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14090784 = 253373967
BaseRepresentation
bin110101110000…
…001000100000
3222111212220220
4311300020200
512101401114
61222003040
7230525001
oct65601040
928455826
1014090784
117a54684
124876480
132bc4856
141c2b1a8
1513850a9
hexd70220

14090784 has 48 divisors (see below), whose sum is σ = 37997568. Its totient is φ = 4568832.

The previous prime is 14090779. The next prime is 14090803. The reversal of 14090784 is 48709041.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1569 + ... + 5535.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 214090784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14090784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784).

14090784 is an abundant number, since it is smaller than the sum of its proper divisors (23906784).

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

14090784 is a wasteful number, since it uses less digits than its factorization.

14090784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14090784 is about 3753.7693056447. The cubic root of 14090784 is about 241.5340623825.

The spelling of 14090784 in words is "fourteen million, ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 3967 7934 11901 15868 23802 31736 47604 63472 95208 126944 146779 190416 293558 380832 440337 587116 880674 1174232 1761348 2348464 3522696 4696928 7045392 14090784