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420101808 = 24372354361
BaseRepresentation
bin11001000010100…
…011111010110000
31002021111101100020
4121002203322300
51330021224213
6105404123440
713260543420
oct3102437260
91067441306
10420101808
111a6155785
12b8836580
136905c169
143db18480
1526d34923
hex190a3eb0

420101808 has 80 divisors (see below), whose sum is σ = 1294250496. Its totient is φ = 114808320.

The previous prime is 420101791. The next prime is 420101813. The reversal of 420101808 is 808101024.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 19453 + ... + 34908.

Almost surely, 2420101808 is an apocalyptic number.

420101808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420101808 is an abundant number, since it is smaller than the sum of its proper divisors (874148688).

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

420101808 is a wasteful number, since it uses less digits than its factorization.

420101808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54402 (or 54396 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 420101808 is about 20496.3852422811. The cubic root of 420101808 is about 748.9477439222.

The spelling of 420101808 in words is "four hundred twenty million, one hundred one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 54361 108722 163083 217444 326166 380527 434888 652332 761054 869776 1141581 1250303 1304664 1522108 2283162 2500606 2609328 3044216 3750909 4566324 5001212 6088432 7501818 8752121 9132648 10002424 15003636 17504242 18265296 20004848 26256363 30007272 35008484 52512726 60014544 70016968 105025452 140033936 210050904 420101808