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428690020 = 2251117831381
BaseRepresentation
bin11001100011010…
…100101001100100
31002212122201011011
4121203110221210
51334221040040
6110312152004
713423543063
oct3143245144
91085581134
10428690020
111aaa91180
12bb698604
136aa78245
1440d121da
152797e3ea
hex198d4a64

428690020 has 96 divisors (see below), whose sum is σ = 1053150336. Its totient is φ = 144844800.

The previous prime is 428690011. The next prime is 428690051. The reversal of 428690020 is 20096824.

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 31 ways as a sum of consecutive naturals, for example, 309730 + ... + 311110.

It is an arithmetic number, because the mean of its divisors is an integer number (10970316).

Almost surely, 2428690020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428690020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526575168).

428690020 is an abundant number, since it is smaller than the sum of its proper divisors (624460316).

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

428690020 is a wasteful number, since it uses less digits than its factorization.

428690020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 428690020 is about 20704.8308372708. The cubic root of 428690020 is about 754.0169771522.

The spelling of 428690020 in words is "four hundred twenty-eight million, six hundred ninety thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 83 85 110 166 170 187 220 332 340 374 415 748 830 913 935 1381 1411 1660 1826 1870 2762 2822 3652 3740 4565 5524 5644 6905 7055 9130 13810 14110 15191 15521 18260 23477 27620 28220 30382 31042 46954 60764 62084 75955 77605 93908 114623 117385 151910 155210 229246 234770 258247 303820 310420 458492 469540 516494 573115 1032988 1146230 1260853 1291235 1948591 2292460 2521706 2582470 3897182 5043412 5164940 6304265 7794364 9742955 12608530 19485910 21434501 25217060 38971820 42869002 85738004 107172505 214345010 428690020