Search a number
-
+
16209940 = 22523131269
BaseRepresentation
bin111101110101…
…100000010100
31010111112212011
4331311200110
513122204230
61335234004
7254532205
oct75654024
933445764
1016209940
11917184a
125518904
1334872a6
14221d5ac
151652e2a
hexf75814

16209940 has 48 divisors (see below), whose sum is σ = 35925120. Its totient is φ = 6131840.

The previous prime is 16209923. The next prime is 16209953. The reversal of 16209940 is 4990261.

It is a happy number.

16209940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60126 + ... + 60394.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 216209940 is an apocalyptic number.

16209940 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 16209940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962560).

16209940 is an abundant number, since it is smaller than the sum of its proper divisors (19715180).

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

16209940 is a wasteful number, since it uses less digits than its factorization.

16209940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 16209940 is about 4026.1569765721. The cubic root of 16209940 is about 253.0815403719.

The spelling of 16209940 in words is "sixteen million, two hundred nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 131 230 262 269 460 524 538 655 1076 1310 1345 2620 2690 3013 5380 6026 6187 12052 12374 15065 24748 30130 30935 35239 60260 61870 70478 123740 140956 176195 352390 704780 810497 1620994 3241988 4052485 8104970 16209940