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16520040 = 23325109421
BaseRepresentation
bin111111000001…
…001101101000
31011002022020100
4333001031220
513212120130
61350025400
7260263245
oct77011550
934068210
1016520040
119363829
125648260
133565494
1422a05cc
1516b4c60
hexfc1368

16520040 has 96 divisors (see below), whose sum is σ = 54311400. Its totient is φ = 4354560.

The previous prime is 16520027. The next prime is 16520099. The reversal of 16520040 is 4002561.

It is a happy number.

16520040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9326916 + 7193124 = 3054^2 + 2682^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16519995 and 16520022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39030 + ... + 39450.

Almost surely, 216520040 is an apocalyptic number.

16520040 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 16520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27155700).

16520040 is an abundant number, since it is smaller than the sum of its proper divisors (37791360).

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

16520040 is a wasteful number, since it uses less digits than its factorization.

16520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 16520040 is about 4064.4852072556. The cubic root of 16520040 is about 254.6851939897.

The spelling of 16520040 in words is "sixteen million, five hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 421 436 545 654 842 872 981 1090 1263 1308 1635 1684 1962 2105 2180 2526 2616 3270 3368 3789 3924 4210 4360 4905 5052 6315 6540 7578 7848 8420 9810 10104 12630 13080 15156 16840 18945 19620 25260 30312 37890 39240 45889 50520 75780 91778 137667 151560 183556 229445 275334 367112 413001 458890 550668 688335 826002 917780 1101336 1376670 1652004 1835560 2065005 2753340 3304008 4130010 5506680 8260020 16520040