Search a number
-
+
16420470 = 23511172927
BaseRepresentation
bin111110101000…
…111001110110
31010220020122120
4332220321312
513200423340
61343540410
7256400043
oct76507166
933806576
1016420470
1192a5a40
1255ba706
13352c071
1422761ca
1516954d0
hexfa8e76

16420470 has 64 divisors (see below), whose sum is σ = 45536256. Its totient is φ = 3745280.

The previous prime is 16420463. The next prime is 16420507. The reversal of 16420470 is 7402461.

It is a self number, because there is not a number n which added to its sum of digits gives 16420470.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4147 + ... + 7073.

It is an arithmetic number, because the mean of its divisors is an integer number (711504).

Almost surely, 216420470 is an apocalyptic number.

16420470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16420470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22768128).

16420470 is an abundant number, since it is smaller than the sum of its proper divisors (29115786).

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

16420470 is a wasteful number, since it uses less digits than its factorization.

16420470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 16420470 is about 4052.2179112185. The cubic root of 16420470 is about 254.1724808608.

Subtracting from 16420470 its reverse (7402461), we obtain a square (9018009 = 30032).

The spelling of 16420470 in words is "sixteen million, four hundred twenty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 2927 5610 5854 8781 14635 17562 29270 32197 43905 49759 64394 87810 96591 99518 149277 160985 193182 248795 298554 321970 482955 497590 547349 746385 965910 1094698 1492770 1642047 2736745 3284094 5473490 8210235 16420470