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206430420 = 22357491501
BaseRepresentation
bin11000100110111…
…10000011010100
3112101102202022010
430103132003110
5410321233140
632252304220
75054425650
oct1423360324
9471382263
10206430420
11a6585259
1259172070
13339c91a1
141d5b7a60
15131c9880
hexc4de0d4

206430420 has 48 divisors (see below), whose sum is σ = 660578688. Its totient is φ = 47184000.

The previous prime is 206430409. The next prime is 206430481. The reversal of 206430420 is 24034602.

206430420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2064304202 = 85227036602752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 245331 + ... + 246170.

It is an arithmetic number, because the mean of its divisors is an integer number (13762056).

Almost surely, 2206430420 is an apocalyptic number.

206430420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206430420 is an abundant number, since it is smaller than the sum of its proper divisors (454148268).

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

206430420 is a wasteful number, since it uses less digits than its factorization.

206430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491520 (or 491518 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 206430420 is about 14367.6866613940. The cubic root of 206430420 is about 591.0051047283.

The spelling of 206430420 in words is "two hundred six million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 491501 983002 1474503 1966004 2457505 2949006 3440507 4915010 5898012 6881014 7372515 9830020 10321521 13762028 14745030 17202535 20643042 29490060 34405070 41286084 51607605 68810140 103215210 206430420