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420314200 = 235219110609
BaseRepresentation
bin11001000011010…
…111110001011000
31002021220011200121
4121003113301120
51330100023300
6105412443024
713262416555
oct3103276130
91067804617
10420314200
111a6290309
12b8919474
1369104a37
143db71a2c
1526d7781a
hex190d7c58

420314200 has 48 divisors (see below), whose sum is σ = 1028673000. Its totient is φ = 159275520.

The previous prime is 420314183. The next prime is 420314201. The reversal of 420314200 is 2413024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420314201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51505 + ... + 59104.

Almost surely, 2420314200 is an apocalyptic number.

420314200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420314200 is an abundant number, since it is smaller than the sum of its proper divisors (608358800).

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

420314200 is a wasteful number, since it uses less digits than its factorization.

420314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110644 (or 110635 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 420314200 is about 20501.5657938607. The cubic root of 420314200 is about 749.0739384989.

Adding to 420314200 its reverse (2413024), we get a palindrome (422727224).

The spelling of 420314200 in words is "four hundred twenty million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 110609 221218 442436 553045 884872 1106090 2101571 2212180 2765225 4203142 4424360 5530450 8406284 10507855 11060900 16812568 21015710 22121800 42031420 52539275 84062840 105078550 210157100 420314200