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16114416 = 243973461
BaseRepresentation
bin111101011110…
…001011110000
31010022200211020
4331132023300
513111130131
61333215440
7253653543
oct75361360
933280736
1016114416
119106aaa
125491580
133452976
1421d685a
151634996
hexf5e2f0

16114416 has 40 divisors (see below), whose sum is σ = 42070224. Its totient is φ = 5314560.

The previous prime is 16114411. The next prime is 16114457. The reversal of 16114416 is 61441161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16114411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2926 + ... + 6386.

Almost surely, 216114416 is an apocalyptic number.

16114416 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 16114416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21035112).

16114416 is an abundant number, since it is smaller than the sum of its proper divisors (25955808).

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

16114416 is a wasteful number, since it uses less digits than its factorization.

16114416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3563 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 16114416 is about 4014.2765226128. The cubic root of 16114416 is about 252.5834302611.

Adding to 16114416 its reverse (61441161), we get a palindrome (77555577).

The spelling of 16114416 in words is "sixteen million, one hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 3461 4656 6922 10383 13844 20766 27688 41532 55376 83064 166128 335717 671434 1007151 1342868 2014302 2685736 4028604 5371472 8057208 16114416