Search a number
-
+
16292980 = 22511312389
BaseRepresentation
bin111110001001…
…110001110100
31010122202202201
4332021301310
513132333410
61341114244
7255326254
oct76116164
933582681
1016292980
119219180
125558984
1334b6022
142241964
15166c83a
hexf89c74

16292980 has 48 divisors (see below), whose sum is σ = 38545920. Its totient is φ = 5731200.

The previous prime is 16292959. The next prime is 16292981. The reversal of 16292980 is 8929261.

It is a super-2 number, since 2×162929802 = 530922394560800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16292981) 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 15 ways as a sum of consecutive naturals, for example, 5626 + ... + 8014.

It is an arithmetic number, because the mean of its divisors is an integer number (803040).

Almost surely, 216292980 is an apocalyptic number.

16292980 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 16292980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19272960).

16292980 is an abundant number, since it is smaller than the sum of its proper divisors (22252940).

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

16292980 is a wasteful number, since it uses less digits than its factorization.

16292980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 16292980 is about 4036.4563666662. The cubic root of 16292980 is about 253.5129650879.

The spelling of 16292980 in words is "sixteen million, two hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 2389 3410 4778 6820 9556 11945 23890 26279 47780 52558 74059 105116 131395 148118 262790 296236 370295 525580 740590 814649 1481180 1629298 3258596 4073245 8146490 16292980