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13894816 = 2513127263
BaseRepresentation
bin110101000000…
…010010100000
3222010221002211
4311000102200
512024113231
61213451504
7226050445
oct65002240
928127084
1013894816
117930421
1247a0b94
132b565b0
141bb99cc
151346eb1
hexd404a0

13894816 has 48 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 6338304.

The previous prime is 13894813. The next prime is 13894817. The reversal of 13894816 is 61849831.

It is not an unprimeable number, because it can be changed into a prime (13894813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52701 + ... + 52963.

It is an arithmetic number, because the mean of its divisors is an integer number (620928).

Almost surely, 213894816 is an apocalyptic number.

13894816 is a gapful number since it is divisible by the number (16) 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 13894816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

13894816 is an abundant number, since it is smaller than the sum of its proper divisors (15909728).

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

13894816 is a wasteful number, since it uses less digits than its factorization.

13894816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 13894816 is about 3727.5750830802. The cubic root of 13894816 is about 240.4091170155.

The spelling of 13894816 in words is "thirteen million, eight hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 127 208 254 263 416 508 526 1016 1052 1651 2032 2104 3302 3419 4064 4208 6604 6838 8416 13208 13676 26416 27352 33401 52832 54704 66802 109408 133604 267208 434213 534416 868426 1068832 1736852 3473704 6947408 13894816