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16013400 = 23352132053
BaseRepresentation
bin111101000101…
…100001011000
31010010120020220
4331011201120
513044412100
61331120040
7253053204
oct75054130
933116226
1016013400
119048117
125443020
1334189b0
1421abb04
151614aa0
hexf45858

16013400 has 96 divisors (see below), whose sum is σ = 53486160. Its totient is φ = 3939840.

The previous prime is 16013383. The next prime is 16013401. The reversal of 16013400 is 431061.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 16013400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16013401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6774 + ... + 8826.

Almost surely, 216013400 is an apocalyptic number.

16013400 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 16013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743080).

16013400 is an abundant number, since it is smaller than the sum of its proper divisors (37472760).

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

16013400 is a wasteful number, since it uses less digits than its factorization.

16013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 16013400 is about 4001.6746494437. The cubic root of 16013400 is about 252.0545359419.

Adding to 16013400 its reverse (431061), we get a palindrome (16444461).

The spelling of 16013400 in words is "sixteen million, thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2053 2600 3900 4106 6159 7800 8212 10265 12318 16424 20530 24636 26689 30795 41060 49272 51325 53378 61590 80067 82120 102650 106756 123180 133445 153975 160134 205300 213512 246360 266890 307950 320268 400335 410600 533780 615900 640536 667225 800670 1067560 1231800 1334450 1601340 2001675 2668900 3202680 4003350 5337800 8006700 16013400