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420266600 = 235213161641
BaseRepresentation
bin11001000011001…
…100001001101000
31002021210202101122
4121003030021220
51330042012400
6105411434412
713262131025
oct3103141150
91067722348
10420266600
111a6258576
12b88b5a08
13690b9180
143db5c54c
1526d68685
hex190cc268

420266600 has 48 divisors (see below), whose sum is σ = 1052289420. Its totient is φ = 155174400.

The previous prime is 420266593. The next prime is 420266611. The reversal of 420266600 is 6662024.

It can be written as a sum of positive squares in 6 ways, for example, as 57668836 + 362597764 = 7594^2 + 19042^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 420266600.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 78221 + ... + 83420.

Almost surely, 2420266600 is an apocalyptic number.

420266600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420266600 is an abundant number, since it is smaller than the sum of its proper divisors (632022820).

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

420266600 is a wasteful number, since it uses less digits than its factorization.

420266600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161670 (or 161661 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 420266600 is about 20500.4048740507. The cubic root of 420266600 is about 749.0456602366.

The spelling of 420266600 in words is "four hundred twenty million, two hundred sixty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 161641 323282 646564 808205 1293128 1616410 2101333 3232820 4041025 4202666 6465640 8082050 8405332 10506665 16164100 16810664 21013330 32328200 42026660 52533325 84053320 105066650 210133300 420266600