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16146966 = 2311223967
BaseRepresentation
bin111101100110…
…001000010110
31010101100110210
4331212020112
513113200331
61334030250
7254150463
oct75461026
933340423
1016146966
119129500
1254a8386
133464724
14220466a
15163e446
hexf66216

16146966 has 48 divisors (see below), whose sum is σ = 37078272. Its totient is φ = 4675440.

The previous prime is 16146953. The next prime is 16146967. The reversal of 16146966 is 66964161.

16146966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161469662 = 521449022010312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16146967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16215 + ... + 17181.

It is an arithmetic number, because the mean of its divisors is an integer number (772464).

Almost surely, 216146966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16146966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539136).

16146966 is an abundant number, since it is smaller than the sum of its proper divisors (20931306).

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

16146966 is a wasteful number, since it uses less digits than its factorization.

16146966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1006 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 16146966 is about 4018.3287570830. The cubic root of 16146966 is about 252.7533828712.

The spelling of 16146966 in words is "sixteen million, one hundred forty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 759 967 1518 1934 2783 2901 5566 5802 8349 10637 16698 21274 22241 31911 44482 63822 66723 117007 133446 234014 244651 351021 489302 702042 733953 1467906 2691161 5382322 8073483 16146966