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424687720 = 23573145441
BaseRepresentation
bin11001010100000…
…011100001101000
31002121010101000211
4121110003201220
51332210001340
6110050310504
713344533422
oct3124034150
91077111024
10424687720
111a87a8196
12ba288434
1369ca6612
144058d812
152743d5ea
hex19503868

424687720 has 32 divisors (see below), whose sum is σ = 968643720. Its totient is φ = 167546880.

The previous prime is 424687657. The next prime is 424687751. The reversal of 424687720 is 27786424.

It can be written as a sum of positive squares in 4 ways, for example, as 211586116 + 213101604 = 14546^2 + 14598^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 69801 + ... + 75640.

Almost surely, 2424687720 is an apocalyptic number.

424687720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424687720 is an abundant number, since it is smaller than the sum of its proper divisors (543956000).

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

424687720 is a wasteful number, since it uses less digits than its factorization.

424687720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145525 (or 145521 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The square root of 424687720 is about 20607.9528337970. The cubic root of 424687720 is about 751.6631064138.

The spelling of 424687720 in words is "four hundred twenty-four million, six hundred eighty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 145441 290882 581764 727205 1163528 1454410 2908820 5817640 10617193 21234386 42468772 53085965 84937544 106171930 212343860 424687720