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420368700 = 223522360923
BaseRepresentation
bin11001000011100…
…101000100111100
31002021222221110010
4121003211010330
51330103244300
6105413543220
713263034503
oct3103450474
91067887403
10420368700
111a6318254
12b8944b10
136912379b
143db8783a
1526d88a50
hex190e513c

420368700 has 72 divisors (see below), whose sum is σ = 1269168768. Its totient is φ = 107222720.

The previous prime is 420368657. The next prime is 420368719. The reversal of 420368700 is 7863024.

420368700 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23562 + ... + 37361.

It is an arithmetic number, because the mean of its divisors is an integer number (17627344).

Almost surely, 2420368700 is an apocalyptic number.

It is an amenable number.

420368700 is an abundant number, since it is smaller than the sum of its proper divisors (848800068).

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

420368700 is a wasteful number, since it uses less digits than its factorization.

420368700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60963 (or 60956 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 420368700 is about 20502.8949175476. The cubic root of 420368700 is about 749.1063132995.

The spelling of 420368700 in words is "four hundred twenty million, three hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 60923 121846 182769 243692 304615 365538 609230 731076 913845 1218460 1401229 1523075 1827690 2802458 3046150 3655380 4203687 4569225 5604916 6092300 7006145 8407374 9138450 14012290 16814748 18276900 21018435 28024580 35030725 42036870 70061450 84073740 105092175 140122900 210184350 420368700