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420246860 = 2251110118913
BaseRepresentation
bin11001000011000…
…111010101001100
31002021202202022112
4121003013111030
51330040344420
6105411203152
713262016335
oct3103072514
91067682275
10420246860
111a6244760
12b88a64b8
13690b01a7
143db5528c
1526d628c5
hex190c754c

420246860 has 48 divisors (see below), whose sum is σ = 972330912. Its totient is φ = 151296000.

The previous prime is 420246857. The next prime is 420246863. The reversal of 420246860 is 68642024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420246857) and next prime (420246863).

It is a super-3 number, since 3×4202468603 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (420246863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12764 + ... + 31676.

It is an arithmetic number, because the mean of its divisors is an integer number (20256894).

Almost surely, 2420246860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420246860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486165456).

420246860 is an abundant number, since it is smaller than the sum of its proper divisors (552084052).

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

420246860 is a wasteful number, since it uses less digits than its factorization.

420246860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19034 (or 19032 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 420246860 is about 20499.9234144911. The cubic root of 420246860 is about 749.0339324486.

Adding to 420246860 its reverse (68642024), we get a palindrome (488888884).

It can be divided in two parts, 42024 and 6860, that added together give a palindrome (48884).

The spelling of 420246860 in words is "four hundred twenty million, two hundred forty-six thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 18913 22220 37826 75652 94565 189130 208043 378260 416086 832172 1040215 1910213 2080430 3820426 4160860 7640852 9551065 19102130 21012343 38204260 42024686 84049372 105061715 210123430 420246860