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420491240 = 23513808637
BaseRepresentation
bin11001000100000…
…010111111101000
31002022020011112122
4121010002333220
51330121204430
6105420330412
713264054661
oct3104027750
91068204478
10420491240
111a63a1324
12b89a3a08
13691674b0
143dbba368
1526daeee5
hex19102fe8

420491240 has 32 divisors (see below), whose sum is σ = 1018883880. Its totient is φ = 155258112.

The previous prime is 420491219. The next prime is 420491249. The reversal of 420491240 is 42194024.

It can be written as a sum of positive squares in 4 ways, for example, as 299359204 + 121132036 = 17302^2 + 11006^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (420491249) 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 7 ways as a sum of consecutive naturals, for example, 403799 + ... + 404838.

Almost surely, 2420491240 is an apocalyptic number.

420491240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420491240 is an abundant number, since it is smaller than the sum of its proper divisors (598392640).

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

420491240 is a wasteful number, since it uses less digits than its factorization.

420491240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808661 (or 808657 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 420491240 is about 20505.8830582835. The cubic root of 420491240 is about 749.1790958905.

The spelling of 420491240 in words is "four hundred twenty million, four hundred ninety-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 808637 1617274 3234548 4043185 6469096 8086370 10512281 16172740 21024562 32345480 42049124 52561405 84098248 105122810 210245620 420491240