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16380 = 22325713
BaseRepresentation
bin11111111111100
3211110200
43333330
51011010
6203500
765520
oct37774
924420
1016380
1111341
129590
1375c0
145d80
154cc0
hex3ffc

16380 has 72 divisors (see below), whose sum is σ = 61152. Its totient is φ = 3456.

The previous prime is 16369. The next prime is 16381. The reversal of 16380 is 8361.

It can be divided in two parts, 163 and 80, that added together give a 5-th power (243 = 35).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 2, base 4 and base 7.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16381) by changing a digit.

16380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1254 + ... + 1266.

216380 is an apocalyptic number.

16380 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 16380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30576).

16380 is an abundant number, since it is smaller than the sum of its proper divisors (44772).

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

16380 is a wasteful number, since it uses less digits than its factorization.

16380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16380 is about 127.9843740462. The cubic root of 16380 is about 25.3963497348.

The spelling of 16380 in words is "sixteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380