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13894144 = 29112467
BaseRepresentation
bin110101000000…
…001000000000
3222010220011221
4311000020000
512024103034
61213444424
7226045465
oct65001000
928126157
1013894144
11792a970
1247a0714
132b561b4
141bb966c
151346bb4
hexd40200

13894144 has 40 divisors (see below), whose sum is σ = 30297168. Its totient is φ = 6312960.

The previous prime is 13894123. The next prime is 13894157. The reversal of 13894144 is 44149831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4399 + ... + 6865.

Almost surely, 213894144 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 13894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148584).

13894144 is an abundant number, since it is smaller than the sum of its proper divisors (16403024).

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

13894144 is an equidigital number, since it uses as much as digits as its factorization.

13894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2480 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 13894144 is about 3727.4849429609. The cubic root of 13894144 is about 240.4052412887.

The spelling of 13894144 in words is "thirteen million, eight hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2467 2816 4934 5632 9868 19736 27137 39472 54274 78944 108548 157888 217096 315776 434192 631552 868384 1263104 1736768 3473536 6947072 13894144