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420014240 = 25517154417
BaseRepresentation
bin11001000010001…
…110100010100000
31002021022221012222
4121002032202200
51330010423430
6105402210212
713260030212
oct3102164240
91067287188
10420014240
111a60a5a08
12b87b3968
136902b349
143dad45b2
1526d189e5
hex1908e8a0

420014240 has 48 divisors (see below), whose sum is σ = 1050660072. Its totient is φ = 158121984.

The previous prime is 420014237. The next prime is 420014261. The reversal of 420014240 is 42410024.

It can be written as a sum of positive squares in 4 ways, for example, as 282374416 + 137639824 = 16804^2 + 11732^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74489 + ... + 79928.

Almost surely, 2420014240 is an apocalyptic number.

420014240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420014240 is an abundant number, since it is smaller than the sum of its proper divisors (630645832).

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

420014240 is a wasteful number, since it uses less digits than its factorization.

420014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154449 (or 154441 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 420014240 is about 20494.2489494004. The cubic root of 420014240 is about 748.8957022407.

Adding to 420014240 its reverse (42410024), we get a palindrome (462424264).

The spelling of 420014240 in words is "four hundred twenty million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 154417 308834 617668 772085 1235336 1544170 2470672 2625089 3088340 4941344 5250178 6176680 10500356 12353360 13125445 21000712 24706720 26250890 42001424 52501780 84002848 105003560 210007120 420014240