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163724420 = 22553257601
BaseRepresentation
bin10011100001000…
…11110010000100
3102102002001200102
421300203302010
5313403140140
624125103232
74025430446
oct1160436204
9372061612
10163724420
1184466642
12469b7b18
1327bc5a72
1417a5c496
15e590e15
hex9c23c84

163724420 has 48 divisors (see below), whose sum is σ = 352256688. Its totient is φ = 63897600.

The previous prime is 163724413. The next prime is 163724437. The reversal of 163724420 is 24427361.

It can be written as a sum of positive squares in 8 ways, for example, as 46348864 + 117375556 = 6808^2 + 10834^2 .

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 15 ways as a sum of consecutive naturals, for example, 272120 + ... + 272720.

It is an arithmetic number, because the mean of its divisors is an integer number (7338681).

Almost surely, 2163724420 is an apocalyptic number.

163724420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163724420 is an abundant number, since it is smaller than the sum of its proper divisors (188532268).

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

163724420 is a wasteful number, since it uses less digits than its factorization.

163724420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 163724420 is about 12795.4843597263. The cubic root of 163724420 is about 547.0636014310.

The spelling of 163724420 in words is "one hundred sixty-three million, seven hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 257 265 514 530 601 1028 1060 1202 1285 2404 2570 3005 5140 6010 12020 13621 27242 31853 54484 63706 68105 127412 136210 154457 159265 272420 308914 318530 617828 637060 772285 1544570 3089140 8186221 16372442 32744884 40931105 81862210 163724420