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420419373 = 31153271887
BaseRepresentation
bin11001000011110…
…001011100101101
31002022002111221220
4121003301130231
51330111404443
6105415013553
713263335313
oct3103613455
91068074856
10420419373
111a6352330
12b896a2b9
136914087a
143db9c0b3
1526d98a83
hex190f172d

420419373 has 32 divisors (see below), whose sum is σ = 626061312. Its totient is φ = 248788800.

The previous prime is 420419359. The next prime is 420419393. The reversal of 420419373 is 373914024.

It is not a de Polignac number, because 420419373 - 25 = 420419341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420419393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473536 + ... + 474422.

It is an arithmetic number, because the mean of its divisors is an integer number (19564416).

Almost surely, 2420419373 is an apocalyptic number.

It is an amenable number.

420419373 is a deficient number, since it is larger than the sum of its proper divisors (205641939).

420419373 is a wasteful number, since it uses less digits than its factorization.

420419373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 420419373 is about 20504.1306326311. The cubic root of 420419373 is about 749.1364122254.

The spelling of 420419373 in words is "four hundred twenty million, four hundred nineteen thousand, three hundred seventy-three".

Divisors: 1 3 11 33 53 159 271 583 813 887 1749 2661 2981 8943 9757 14363 29271 43089 47011 141033 157993 240377 473979 517121 721131 1551363 2644147 7932441 12739981 38219943 140139791 420419373