[go: up one dir, main page]

Search a number
-
+
20419700 = 2252731941
BaseRepresentation
bin100110111100…
…1010001110100
31102102102120012
41031321101310
520211412300
62005355352
7335364440
oct115712164
942372505
1020419700
1110587694
126a08b58
1342cc482
1429d7820
151bd5435
hex1379474

20419700 has 72 divisors (see below), whose sum is σ = 52329984. Its totient is φ = 6768000.

The previous prime is 20419697. The next prime is 20419717. The reversal of 20419700 is 791402.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21230 + ... + 22170.

Almost surely, 220419700 is an apocalyptic number.

20419700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20419700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26164992).

20419700 is an abundant number, since it is smaller than the sum of its proper divisors (31910284).

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

20419700 is a wasteful number, since it uses less digits than its factorization.

20419700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 20419700 is about 4518.8162166656. The cubic root of 20419700 is about 273.3273678386.

The spelling of 20419700 in words is "twenty million, four hundred nineteen thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 941 1085 1550 1882 2170 3100 3764 4340 4705 5425 6587 9410 10850 13174 18820 21700 23525 26348 29171 32935 47050 58342 65870 94100 116684 131740 145855 164675 204197 291710 329350 408394 583420 658700 729275 816788 1020985 1458550 2041970 2917100 4083940 5104925 10209850 20419700