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421511680 = 295164653
BaseRepresentation
bin11001000111111…
…100001000000000
31002101011000022201
4121013330020000
51330401333210
6105454242544
713305535012
oct3107741000
91071130281
10421511680
111a6a28a67
12b91b6454
1369433ac5
143dda41b2
152701253a
hex191fc200

421511680 has 40 divisors (see below), whose sum is σ = 1010646252. Its totient is φ = 168603648.

The previous prime is 421511677. The next prime is 421511687. The reversal of 421511680 is 86115124.

It can be written as a sum of positive squares in 2 ways, for example, as 421398784 + 112896 = 20528^2 + 336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (421511687) 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 3 ways as a sum of consecutive naturals, for example, 79767 + ... + 84886.

Almost surely, 2421511680 is an apocalyptic number.

421511680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421511680 is an abundant number, since it is smaller than the sum of its proper divisors (589134572).

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

421511680 is an equidigital number, since it uses as much as digits as its factorization.

421511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164676 (or 164660 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 421511680 is about 20530.7496209953. The cubic root of 421511680 is about 749.7846374238.

The spelling of 421511680 in words is "four hundred twenty-one million, five hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 164653 329306 658612 823265 1317224 1646530 2634448 3293060 5268896 6586120 10537792 13172240 21075584 26344480 42151168 52688960 84302336 105377920 210755840 421511680