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16131328 = 28611033
BaseRepresentation
bin111101100010…
…010100000000
31010100120000121
4331202110000
513112200303
61333430024
7254054053
oct75422400
933316017
1016131328
119118784
12549b314
13345a585
1421dca9a
1516399bd
hexf62500

16131328 has 36 divisors (see below), whose sum is σ = 32759188. Its totient is φ = 7925760.

The previous prime is 16131319. The next prime is 16131329. The reversal of 16131328 is 82313161.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 8111104 = 2832^2 + 2848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16131329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15100 + ... + 16132.

Almost surely, 216131328 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 16131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16379594).

16131328 is an abundant number, since it is smaller than the sum of its proper divisors (16627860).

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

16131328 is an equidigital number, since it uses as much as digits as its factorization.

16131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1096 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 16131328 is about 4016.3824519087. The cubic root of 16131328 is about 252.6717610549.

Adding to 16131328 its reverse (82313161), we get a palindrome (98444489).

The spelling of 16131328 in words is "sixteen million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1033 1952 2066 3904 4132 7808 8264 15616 16528 33056 63013 66112 126026 132224 252052 264448 504104 1008208 2016416 4032832 8065664 16131328