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16444540 = 2257235107
BaseRepresentation
bin111110101110…
…110001111100
31010221110200001
4332232301330
513202211130
61344244044
7256530160
oct76566174
933843601
1016444540
119312032
125610624
133539cc8
142280ca0
15169c6ca
hexfaec7c

16444540 has 48 divisors (see below), whose sum is σ = 41190912. Its totient is φ = 5391936.

The previous prime is 16444513. The next prime is 16444553. The reversal of 16444540 is 4544461.

16444540 = T413 + T414 + ... + T552.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 16444499 and 16444508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667 + ... + 5773.

It is an arithmetic number, because the mean of its divisors is an integer number (858144).

Almost surely, 216444540 is an apocalyptic number.

16444540 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 16444540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20595456).

16444540 is an abundant number, since it is smaller than the sum of its proper divisors (24746372).

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

16444540 is a wasteful number, since it uses less digits than its factorization.

16444540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 16444540 is about 4055.1868021091. The cubic root of 16444540 is about 254.2966134164.

The spelling of 16444540 in words is "sixteen million, four hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 5107 10214 20428 25535 35749 51070 71498 102140 117461 142996 178745 234922 357490 469844 587305 714980 822227 1174610 1644454 2349220 3288908 4111135 8222270 16444540