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12971016 = 233437541
BaseRepresentation
bin110001011110…
…110000001000
3220101222220000
4301132300020
511310033031
61142003000
7215152242
oct61366010
926358800
1012971016
11735a353
124416460
1328c1c76
141a19092
1512133e6
hexc5ec08

12971016 has 80 divisors (see below), whose sum is σ = 37381740. Its totient is φ = 4199040.

The previous prime is 12971009. The next prime is 12971039. The reversal of 12971016 is 61017921.

It can be written as a sum of positive squares in 2 ways, for example, as 12574116 + 396900 = 3546^2 + 630^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23706 + ... + 24246.

Almost surely, 212971016 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 12971016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18690870).

12971016 is an abundant number, since it is smaller than the sum of its proper divisors (24410724).

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

12971016 is a wasteful number, since it uses less digits than its factorization.

12971016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 12971016 is about 3601.5296750131. The cubic root of 12971016 is about 234.9585923723.

Adding to 12971016 its reverse (61017921), we get a palindrome (73988937).

The spelling of 12971016 in words is "twelve million, nine hundred seventy-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 541 648 666 888 999 1082 1332 1623 1998 2164 2664 2997 3246 3996 4328 4869 5994 6492 7992 9738 11988 12984 14607 19476 20017 23976 29214 38952 40034 43821 58428 60051 80068 87642 116856 120102 160136 175284 180153 240204 350568 360306 480408 540459 720612 1080918 1441224 1621377 2161836 3242754 4323672 6485508 12971016