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420890680 = 23571503181
BaseRepresentation
bin11001000101100…
…100100000111000
31002022222110110201
4121011210200320
51330222000210
6105433051544
713300340350
oct3105444070
91068873421
10420890680
111a6644441
12b8b56bb4
1369277252
143dc81b60
1526e3d53a
hex19164838

420890680 has 32 divisors (see below), whose sum is σ = 1082291040. Its totient is φ = 144305280.

The previous prime is 420890669. The next prime is 420890683. The reversal of 420890680 is 86098024.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420890683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751311 + ... + 751870.

It is an arithmetic number, because the mean of its divisors is an integer number (33821595).

Almost surely, 2420890680 is an apocalyptic number.

420890680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420890680 is an abundant number, since it is smaller than the sum of its proper divisors (661400360).

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

420890680 is a wasteful number, since it uses less digits than its factorization.

420890680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503199 (or 1503195 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 420890680 is about 20515.6203903270. The cubic root of 420890680 is about 749.4162450173.

The spelling of 420890680 in words is "four hundred twenty million, eight hundred ninety thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1503181 3006362 6012724 7515905 10522267 12025448 15031810 21044534 30063620 42089068 52611335 60127240 84178136 105222670 210445340 420890680