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420691280 = 24535314897
BaseRepresentation
bin11001000100110…
…011110101010000
31002022121022221112
4121010303311100
51330144110110
6105424512452
713265550122
oct3104636520
91068538845
10420691280
111a6518649
12b8a7b728
1369207569
143dc2d212
1526dee405
hex19133d50

420691280 has 40 divisors (see below), whose sum is σ = 980943912. Its totient is φ = 167788544.

The previous prime is 420691279. The next prime is 420691301. The reversal of 420691280 is 82196024.

It can be written as a sum of positive squares in 4 ways, for example, as 109662784 + 311028496 = 10472^2 + 17636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 20792 + ... + 35688.

Almost surely, 2420691280 is an apocalyptic number.

420691280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420691280 is an abundant number, since it is smaller than the sum of its proper divisors (560252632).

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

420691280 is a wasteful number, since it uses less digits than its factorization.

420691280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15263 (or 15257 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 420691280 is about 20510.7601029313. The cubic root of 420691280 is about 749.2978792033.

The spelling of 420691280 in words is "four hundred twenty million, six hundred ninety-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 353 706 1412 1765 2824 3530 5648 7060 14120 14897 28240 29794 59588 74485 119176 148970 238352 297940 595880 1191760 5258641 10517282 21034564 26293205 42069128 52586410 84138256 105172820 210345640 420691280