Search a number
-
+
65414130 = 23517472729
BaseRepresentation
bin1111100110001…
…0001111110010
311120002101022120
43321202033302
5113221223010
610254015110
71423003515
oct371421762
9146071276
1065414130
1133a19671
1219aa7496
13107243b2
14898ad7c
155b21e70
hex3e623f2

65414130 has 64 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 16062464.

The previous prime is 65414119. The next prime is 65414179. The reversal of 65414130 is 3141456.

It is a self number, because there is not a number n which added to its sum of digits gives 65414130.

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, 22606 + ... + 25334.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 265414130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65414130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

65414130 is an abundant number, since it is smaller than the sum of its proper divisors (104413710).

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

65414130 is a wasteful number, since it uses less digits than its factorization.

65414130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 65414130 is about 8087.9002219365. The cubic root of 65414130 is about 402.9246678436.

Adding to 65414130 its reverse (3141456), we get a palindrome (68555586).

The spelling of 65414130 in words is "sixty-five million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 235 255 282 470 510 705 799 1410 1598 2397 2729 3995 4794 5458 7990 8187 11985 13645 16374 23970 27290 40935 46393 81870 92786 128263 139179 231965 256526 278358 384789 463930 641315 695895 769578 1282630 1391790 1923945 2180471 3847890 4360942 6541413 10902355 13082826 21804710 32707065 65414130