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16132680 = 23325411093
BaseRepresentation
bin111101100010…
…101001001000
31010100121212200
4331202221020
513112221210
61333440200
7254061024
oct75425110
933317780
1016132680
1191197a3
1254a0060
13345b085
1421dd384
15163a0c0
hexf62a48

16132680 has 96 divisors (see below), whose sum is σ = 53759160. Its totient is φ = 4193280.

The previous prime is 16132667. The next prime is 16132681. The reversal of 16132680 is 8623161.

It can be written as a sum of positive squares in 4 ways, for example, as 13527684 + 2604996 = 3678^2 + 1614^2 .

It is not an unprimeable number, because it can be changed into a prime (16132681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14214 + ... + 15306.

Almost surely, 216132680 is an apocalyptic number.

16132680 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 16132680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26879580).

16132680 is an abundant number, since it is smaller than the sum of its proper divisors (37626480).

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

16132680 is a wasteful number, since it uses less digits than its factorization.

16132680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16132680 is about 4016.5507590469. The cubic root of 16132680 is about 252.6788198389.

The spelling of 16132680 in words is "sixteen million, one hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1093 1230 1476 1640 1845 2186 2460 2952 3279 3690 4372 4920 5465 6558 7380 8744 9837 10930 13116 14760 16395 19674 21860 26232 32790 39348 43720 44813 49185 65580 78696 89626 98370 131160 134439 179252 196740 224065 268878 358504 393480 403317 448130 537756 672195 806634 896260 1075512 1344390 1613268 1792520 2016585 2688780 3226536 4033170 5377560 8066340 16132680