Search a number
-
+
16642680 = 2335331419
BaseRepresentation
bin111111011111…
…001001111000
31011022112110120
4333133021320
513230031210
61352413240
7261313635
oct77371170
934275416
1016642680
11943798a
1256a7220
1335a9252
1422d318c
1516db270
hexfdf278

16642680 has 64 divisors (see below), whose sum is σ = 50198400. Its totient is φ = 4414080.

The previous prime is 16642669. The next prime is 16642687. The reversal of 16642680 is 8624661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16642687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39511 + ... + 39929.

It is an arithmetic number, because the mean of its divisors is an integer number (784350).

Almost surely, 216642680 is an apocalyptic number.

16642680 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 16642680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25099200).

16642680 is an abundant number, since it is smaller than the sum of its proper divisors (33555720).

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

16642680 is a wasteful number, since it uses less digits than its factorization.

16642680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 16642680 is about 4079.5440921750. The cubic root of 16642680 is about 255.3138772375.

The spelling of 16642680 in words is "sixteen million, six hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 419 662 838 993 1257 1324 1655 1676 1986 2095 2514 2648 3310 3352 3972 4190 4965 5028 6285 6620 7944 8380 9930 10056 12570 13240 16760 19860 25140 39720 50280 138689 277378 416067 554756 693445 832134 1109512 1386890 1664268 2080335 2773780 3328536 4160670 5547560 8321340 16642680