Search a number
-
+
420217254 = 23317653701
BaseRepresentation
bin11001000011000…
…000000110100110
31002021201020201000
4121003000012212
51330033423004
6105410414130
713261534122
oct3103000646
91067636630
10420217254
111a6224496
12b8891346
136909c882
143db48582
1526d58c39
hex190c01a6

420217254 has 64 divisors (see below), whose sum is σ = 991673280. Its totient is φ = 131443200.

The previous prime is 420217249. The next prime is 420217277. The reversal of 420217254 is 452712024.

420217254 is a `hidden beast` number, since 420 + 217 + 25 + 4 = 666.

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

It is a Curzon number.

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, 599104 + ... + 599804.

It is an arithmetic number, because the mean of its divisors is an integer number (15494895).

Almost surely, 2420217254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420217254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495836640).

420217254 is an abundant number, since it is smaller than the sum of its proper divisors (571456026).

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

420217254 is a wasteful number, since it uses less digits than its factorization.

420217254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 420217254 is about 20499.2013015142. The cubic root of 420217254 is about 749.0163424545.

Adding to 420217254 its reverse (452712024), we get a palindrome (872929278).

The spelling of 420217254 in words is "four hundred twenty million, two hundred seventeen thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 653 701 918 1306 1402 1959 2103 3918 4206 5877 6309 11101 11754 11917 12618 17631 18927 22202 23834 33303 35262 35751 37854 66606 71502 99909 107253 199818 214506 299727 321759 457753 599454 643518 915506 1373259 2746518 4119777 7781801 8239554 12359331 15563602 23345403 24718662 46690806 70036209 140072418 210108627 420217254