Search a number
-
+
16797040 = 2451331521
BaseRepresentation
bin100000000010…
…0110101110000
31011121101012121
41000010311300
513300001130
61400004024
7262525651
oct100046560
934541177
1016797040
119532957
125760614
1336315a0
142333528
15171bd7a
hex1004d70

16797040 has 80 divisors (see below), whose sum is σ = 43497216. Its totient is φ = 5990400.

The previous prime is 16797031. The next prime is 16797041. The reversal of 16797040 is 4079761.

16797040 = 4762 + 4772 + ... + 5402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 16796987 and 16797005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16797041) 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, 31980 + ... + 32500.

Almost surely, 216797040 is an apocalyptic number.

16797040 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 16797040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21748608).

16797040 is an abundant number, since it is smaller than the sum of its proper divisors (26700176).

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

16797040 is a wasteful number, since it uses less digits than its factorization.

16797040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 16797040 is about 4098.4192074506. The cubic root of 16797040 is about 256.1007903905.

The spelling of 16797040 in words is "sixteen million, seven hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 521 620 806 1040 1042 1240 1612 2015 2084 2480 2605 3224 4030 4168 5210 6448 6773 8060 8336 10420 13546 16120 16151 20840 27092 32240 32302 33865 41680 54184 64604 67730 80755 108368 129208 135460 161510 209963 258416 270920 323020 419926 541840 646040 839852 1049815 1292080 1679704 2099630 3359408 4199260 8398520 16797040