Search a number
-
+
16712082 = 235137251
BaseRepresentation
bin111111110000…
…000110010010
31011110001200000
4333300012102
513234241312
61354110430
7262023162
oct77600622
934401600
1016712082
119485042
12571b416
133601a0a
1423105a2
151701adc
hexff0192

16712082 has 48 divisors (see below), whose sum is σ = 37975392. Its totient is φ = 5508000.

The previous prime is 16712081. The next prime is 16712089. The reversal of 16712082 is 28021761.

16712082 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16712081) 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, 66457 + ... + 66707.

It is an arithmetic number, because the mean of its divisors is an integer number (791154).

Almost surely, 216712082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16712082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18987696).

16712082 is an abundant number, since it is smaller than the sum of its proper divisors (21263310).

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

16712082 is a wasteful number, since it uses less digits than its factorization.

16712082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 16712082 is about 4088.0413402998. The cubic root of 16712082 is about 255.6682816979.

The spelling of 16712082 in words is "sixteen million, seven hundred twelve thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 243 251 274 411 486 502 753 822 1233 1506 2259 2466 3699 4518 6777 7398 11097 13554 20331 22194 33291 34387 40662 60993 66582 68774 103161 121986 206322 309483 618966 928449 1856898 2785347 5570694 8356041 16712082