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12901746 = 23112131367
BaseRepresentation
bin110001001101…
…110101110010
3220021110212110
4301031311302
511300323441
61140310150
7214443264
oct61156562
926243773
1012901746
117312300
1243a2356
132899590
1419dbb34
1511ecb16
hexc4dd72

12901746 has 48 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 3606240.

The previous prime is 12901729. The next prime is 12901747. The reversal of 12901746 is 64710921.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12901747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8755 + ... + 10121.

It is an arithmetic number, because the mean of its divisors is an integer number (636804).

Almost surely, 212901746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12901746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

12901746 is an abundant number, since it is smaller than the sum of its proper divisors (17664846).

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

12901746 is a wasteful number, since it uses less digits than its factorization.

12901746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 12901746 is about 3591.9000542888. The cubic root of 12901746 is about 234.5395904866.

The spelling of 12901746 in words is "twelve million, nine hundred one thousand, seven hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1367 1573 2734 3146 4101 4719 8202 9438 15037 17771 30074 35542 45111 53313 90222 106626 165407 195481 330814 390962 496221 586443 992442 1172886 2150291 4300582 6450873 12901746